1,728

1,728 is a great gross — 12³ — and the number of cubic inches in a cubic foot.

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Where 1,728 fits

1,728 connects to 2 worlds: mathematics, related numbers.

Why 1,728 is special

1,728 is what happens when a duodecimal habit meets three dimensions. Twelve inches to a foot means 12 × 12 × 12 cubic inches to a cubic foot, and the same cube gives the 'great gross' of the old counting system: twelve dozen dozen. It is why imperial volume conversions carry such awkward numbers.

Factors & digit properties

Divisors (28): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728
Prime factorisation: 2^6 × 3^3
Digit sum: 18
Digital root: 9

Representations

Decimal: 1728
Binary: 11011000000
Octal: 3300
Hexadecimal: 6c0
Roman numeral: MDCCXXVIII
Scientific notation: 1.728 × 10^3

Other mathematical patterns

Abundant number
Powerful number
Harshad (Niven) number

Related numbers & connections

Mathematical relationship

1,728 is twelve gross, or twelve cubed: the number of cubic inches in a cubic foot. Both numbers come from the same habit of counting in twelves.

View 144 →

Connection

Twelve inches to a foot cubes to 1,728, which is why imperial volume conversions produce numbers no one can do in their head.

View 12 →

Mathematically related

has multiple144
why?
Strength 0.50, confidence "high".

Other connections

is associated with12
why?
Strength 0.50, confidence "high".
is associated with231
why?
Strength 0.50, confidence "high".

How is 1,728 connected to another number? →

Everyday life

Twelve inches to a foot cubes to 1,728 cubic inches in a cubic foot. The same number is a great gross — twelve dozen dozen — from an older counting system built on twelves. Metric volume conversions are powers of ten precisely to avoid arriving at numbers like this.
DocumentedEveryday life

Common questions

Is 1,728 a prime number?

No, 1,728 is not prime.

What are the factors of 1,728?

The factors of 1,728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728.

What is 1,728 in Roman numerals?

1,728 in Roman numerals is MDCCXXVIII.

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: 3 August 2026