10728

10,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 10728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

10728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 10728:

2³ × 3² × 149

(2 × 2 × 2 × 3 × 3 × 149)

See below for interesting mathematical facts about the number 10728 from the Numbermatics database.

Names of 10728

Cardinal: 10728 can be written as Ten thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 1.0728 × 10⁴

Factors of 10728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 154

Divisors of 10728

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728
Sum of all divisors σ(n): 29250
Sum of proper divisors (its aliquot sum) s(n): 18522
10728 is an abundant number, because the sum of its proper divisors (18522) is greater than itself. Its abundance is 7794

Bases of 10728

Binary: 10100111101000₂
Hexadecimal: 0x29E8
Base-36: 8A0

Squares and roots of 10728

10728 squared (10728²) is 115089984
10728 cubed (10728³) is 1234685348352
The square root of 10728 is 103.5760590097
The cube root of 10728 is 22.0549590093

Scales and comparisons

How big is 10728?

10,728 seconds is equal to 2 hours, 58 minutes, 48 seconds.
To count from 1 to 10,728 would take you about two hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
A cube with a volume of 10728 cubic inches would be around 1.8 feet tall.

Recreational maths with 10728

10728 backwards is 82701
10728 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 10728's digits is 18
More coming soon!

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The information we have on file for 10728 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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