28224

28,224 is an even composite number composed of three prime numbers multiplied together.

What does the number 28224 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 63 divisors.

28224 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-three divisors.

Prime factorization of 28224:

2⁶ × 3² × 7²

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 28224 from the Numbermatics database.

Names of 28224

Cardinal: 28224 can be written as Twenty-eight thousand, two hundred twenty-four.

Scientific notation

Scientific notation: 2.8224 × 10⁴

Factors of 28224

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 12

Divisors of 28224

Number of divisors d(n): 63
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224
Sum of all divisors σ(n): 94107
Sum of proper divisors (its aliquot sum) s(n): 65883
28224 is an abundant number, because the sum of its proper divisors (65883) is greater than itself. Its abundance is 37659

Bases of 28224

Binary: 110111001000000₂
Hexadecimal: 0x6E40
Base-36: LS0

Squares and roots of 28224

28224 squared (28224²) is 796594176
28224 cubed (28224³) is 22483074023424
28224 is a perfect square number. Its square root is 168
The cube root of 28224 is 30.4466504441

Scales and comparisons

How big is 28224?

28,224 seconds is equal to 7 hours, 50 minutes, 24 seconds.
To count from 1 to 28,224 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 28224 cubic inches would be around 2.5 feet tall.

Recreational maths with 28224

28224 backwards is 42282
28224 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 28224's digits is 18
More coming soon!

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The information we have on file for 28224 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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