28,800
28,800 bits per second was the modem speed at which the web became mainstream.
- Even
- Composite
Where 28,800 fits
Why 28,800 is special
V.34 modems reached it in 1994, and the consumer internet boom followed immediately. The technology and the speed threshold arrived together.
Factors & digit properties
- Divisors (72)
- 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 64, 72, 75, 80, 90, 96, 100, 120, 128, 144, 150, 160, 180, 192, 200, 225, 240, 288, 300, 320, 360, 384, 400, 450, 480, 576, 600, 640, 720, 800, 900, 960, 1152, 1200, 1440, 1600, 1800, 1920, 2400, 2880, 3200, 3600, 4800, 5760, 7200, 9600, 14400, 28800
- Prime factorisation
- 2^7 × 3^2 × 5^2
- Digit sum
- 18
- Digital root
- 9
Representations
- Decimal
- 28800
- Scientific notation
- 2.880 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 0 0 0 0 1 0 0 0 0 0 0 0
1 × 16,384 + 1 × 8,192 + 1 × 4,096 + 0 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 28,800
Octal
7 0 2 0 0
7 × 4,096 + 0 × 512 + 2 × 64 + 0 × 8 + 0 × 1 = 28,800
Hexadecimal
7 0 8 0
7 × 4,096 + 0 × 256 + 8 × 16 + 0 × 1 = 28,800
Read as powers of two: 16,384 + 8,192 + 4,096 + 128 = 28,800.
In historical numeral systems
Egyptian
2 fingers, 8 lotuses, 8 coils of rope
2 × 10,000 + 8 × 1,000 + 8 × 100 = 28,800. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Abundant number
- Powerful number
- Harshad (Niven) number
Related numbers & connections
14.4 kbps made images worth sending and 28.8 arrived in 1994, immediately before the consumer internet boom. Adoption curves tend to follow bandwidth thresholds rather than predict them.
View 14400 →Other connections
- developed from14400
why?
Strength 0.50, confidence "high".
Technology & computing
V.34 modems reached 28.8 kbps in 1994 and consumer internet adoption accelerated sharply from that point. Bandwidth thresholds tend to be visible in adoption curves afterwards rather than predicted before.
DocumentedTechnology & computingPeriod: 1994
Common questions
Is 28,800 a prime number?
No, 28,800 is not prime.
What are the factors of 28,800?
The factors of 28,800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 64, 72, 75, 80, 90, 96, 100, 120, 128, 144, 150, 160, 180, 192, 200, 225, 240, 288, 300, 320, 360, 384, 400, 450, 480, 576, 600, 640, 720, 800, 900, 960, 1152, 1200, 1440, 1600, 1800, 1920, 2400, 2880, 3200, 3600, 4800, 5760, 7200, 9600, 14400, 28800.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026