428800

428,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 428800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

428800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 428800:

2⁸ × 5² × 67

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 67)

See below for interesting mathematical facts about the number 428800 from the Numbermatics database.

Names of 428800

Cardinal: 428800 can be written as Four hundred twenty-eight thousand, eight hundred.

Scientific notation

Scientific notation: 4.288 × 10⁵

Factors of 428800

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 74

Divisors of 428800

Number of divisors d(n): 54
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 128 134 160 200 256 268 320 335 400 536 640 670 800 1072 1280 1340 1600 1675 2144 2680 3200 3350 4288 5360 6400 6700 8576 10720 13400 17152 21440 26800 42880 53600 85760 107200 214400 428800
Sum of all divisors σ(n): 1077188
Sum of proper divisors (its aliquot sum) s(n): 648388
428800 is an abundant number, because the sum of its proper divisors (648388) is greater than itself. Its abundance is 219588

Bases of 428800

Binary: 1101000101100000000₂
Hexadecimal: 0x68B00
Base-36: 96V4

Squares and roots of 428800

428800 squared (428800²) is 183869440000
428800 cubed (428800³) is 78843215872000000
The square root of 428800 is 654.8282217499
The cube root of 428800 is 75.4081452409

Scales and comparisons

How big is 428800?

428,800 seconds is equal to 4 days, 23 hours, 6 minutes, 40 seconds.
To count from 1 to 428,800 would take you about four days.

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 428800 cubic inches would be around 6.3 feet tall.

Recreational maths with 428800

428800 backwards is 008824
The number of decimal digits it has is: 6
The sum of 428800's digits is 22
More coming soon!

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The information we have on file for 428800 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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