33728

33,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 33728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

33728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 33728:

2⁶ × 17 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 17 × 31)

See below for interesting mathematical facts about the number 33728 from the Numbermatics database.

Names of 33728

Cardinal: 33728 can be written as Thirty-three thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 3.3728 × 10⁴

Factors of 33728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 50

Divisors of 33728

Number of divisors d(n): 28
Complete list of divisors:
1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 4216 8432 16864 33728
Sum of all divisors σ(n): 73152
Sum of proper divisors (its aliquot sum) s(n): 39424
33728 is an abundant number, because the sum of its proper divisors (39424) is greater than itself. Its abundance is 5696

Bases of 33728

Binary: 1000001111000000₂
Hexadecimal: 0x83C0
Base-36: Q0W

Squares and roots of 33728

33728 squared (33728²) is 1137577984
33728 cubed (33728³) is 38368230244352
The square root of 33728 is 183.6518445319
The cube root of 33728 is 32.3094969629

Scales and comparisons

How big is 33728?

33,728 seconds is equal to 9 hours, 22 minutes, 8 seconds.
To count from 1 to 33,728 would take you about nine 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 33728 cubic inches would be around 2.7 feet tall.

Recreational maths with 33728

33728 backwards is 82733
The number of decimal digits it has is: 5
The sum of 33728's digits is 23
More coming soon!

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The information we have on file for 33728 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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