28608

28,608 is an even composite number composed of three prime numbers multiplied together.

What does the number 28608 look like?

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

28608 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 28608:

2⁶ × 3 × 149

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 149)

See below for interesting mathematical facts about the number 28608 from the Numbermatics database.

Names of 28608

Cardinal: 28608 can be written as Twenty-eight thousand, six hundred eight.

Scientific notation

Scientific notation: 2.8608 × 10⁴

Factors of 28608

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 154

Divisors of 28608

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4768 7152 9536 14304 28608
Sum of all divisors σ(n): 76200
Sum of proper divisors (its aliquot sum) s(n): 47592
28608 is an abundant number, because the sum of its proper divisors (47592) is greater than itself. Its abundance is 18984

Bases of 28608

Binary: 110111111000000₂
Hexadecimal: 0x6FC0
Base-36: M2O

Squares and roots of 28608

28608 squared (28608²) is 818417664
28608 cubed (28608³) is 23413292531712
The square root of 28608 is 169.1389960949
The cube root of 28608 is 30.5841089689

Scales and comparisons

How big is 28608?

28,608 seconds is equal to 7 hours, 56 minutes, 48 seconds.
To count from 1 to 28,608 would take you about seven 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 28608 cubic inches would be around 2.5 feet tall.

Recreational maths with 28608

28608 backwards is 80682
28608 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 28608's digits is 24
More coming soon!

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The information we have on file for 28608 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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