# 28800

## 28,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 28800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

28800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 28800:

### 27 × 32 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 28800 from the Numbermatics database.

### Names of 28800

• Cardinal: 28800 can be written as Twenty-eight thousand, eight hundred.

### Scientific notation

• Scientific notation: 2.88 × 104

### Factors of 28800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

### Divisors of 28800

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 102765
• Sum of proper divisors (its aliquot sum) s(n): 73965
• 28800 is an abundant number, because the sum of its proper divisors (73965) is greater than itself. Its abundance is 45165

### Bases of 28800

• Binary: 1110000100000002
• Base-36: M80

### Squares and roots of 28800

• 28800 squared (288002) is 829440000
• 28800 cubed (288003) is 23887872000000
• The square root of 28800 is 169.7056274849
• The cube root of 28800 is 30.6523772957

### Scales and comparisons

How big is 28800?
• 28,800 seconds is equal to 8 hours.
• To count from 1 to 28,800 would take you about eight 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 28800 cubic inches would be around 2.6 feet tall.

### Recreational maths with 28800

• 28800 backwards is 00882
• 28800 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 28800's digits is 18
• More coming soon!