# 33728

## 33,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 33728 look like?

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

33728 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 33728:

### 26 × 17 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 17 × 31)

See below for interesting mathematical facts about the number 33728 from the Numbermatics database.

### Names of 33728

• Cardinal: 33728 can be written as Thirty-three thousand, seven hundred twenty-eight.

### Scientific notation

• Scientific notation: 3.3728 × 104

### Factors of 33728

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 50

### Divisors of 33728

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 73152
• Sum of proper divisors (its aliquot sum) s(n): 39424
• 33728 is an abundant number, because the sum of its proper divisors (39424) is greater than itself. Its abundance is 5696

### Bases of 33728

• Binary: 10000011110000002
• Base-36: Q0W

### Squares and roots of 33728

• 33728 squared (337282) is 1137577984
• 33728 cubed (337283) is 38368230244352
• The square root of 33728 is 183.6518445319
• The cube root of 33728 is 32.3094969629

### Scales and comparisons

How big is 33728?
• 33,728 seconds is equal to 9 hours, 22 minutes, 8 seconds.
• To count from 1 to 33,728 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 33728 cubic inches would be around 2.7 feet tall.

### Recreational maths with 33728

• 33728 backwards is 82733
• The number of decimal digits it has is: 5
• The sum of 33728's digits is 23
• More coming soon!