# 32928

## 32,928 is an even composite number composed of three prime numbers multiplied together.

What does the number 32928 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

32928 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 32928:

### 25 × 3 × 73

(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7)

See below for interesting mathematical facts about the number 32928 from the Numbermatics database.

### Names of 32928

• Cardinal: 32928 can be written as Thirty-two thousand, nine hundred twenty-eight.

### Scientific notation

• Scientific notation: 3.2928 × 104

### Factors of 32928

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 12

### Divisors of 32928

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 100800
• Sum of proper divisors (its aliquot sum) s(n): 67872
• 32928 is an abundant number, because the sum of its proper divisors (67872) is greater than itself. Its abundance is 34944

### Bases of 32928

• Binary: 10000000101000002
• Base-36: PEO

### Squares and roots of 32928

• 32928 squared (329282) is 1084253184
• 32928 cubed (329283) is 35702288842752
• The square root of 32928 is 181.4607395555
• The cube root of 32928 is 32.0519987915

### Scales and comparisons

How big is 32928?
• 32,928 seconds is equal to 9 hours, 8 minutes, 48 seconds.
• To count from 1 to 32,928 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 32928 cubic inches would be around 2.7 feet tall.

### Recreational maths with 32928

• 32928 backwards is 82923
• 32928 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 32928's digits is 24
• More coming soon!