# 11328

## 11,328 is an even composite number composed of three prime numbers multiplied together.

What does the number 11328 look like?

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

11328 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 11328:

### 26 × 3 × 59

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 59)

See below for interesting mathematical facts about the number 11328 from the Numbermatics database.

### Names of 11328

• Cardinal: 11328 can be written as Eleven thousand, three hundred twenty-eight.

### Scientific notation

• Scientific notation: 1.1328 × 104

### Factors of 11328

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 64

### Divisors of 11328

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 30480
• Sum of proper divisors (its aliquot sum) s(n): 19152
• 11328 is an abundant number, because the sum of its proper divisors (19152) is greater than itself. Its abundance is 7824

### Bases of 11328

• Binary: 101100010000002
• Base-36: 8QO

### Squares and roots of 11328

• 11328 squared (113282) is 128323584
• 11328 cubed (113283) is 1453649559552
• The square root of 11328 is 106.4330775653
• The cube root of 11328 is 22.4586896321

### Scales and comparisons

How big is 11328?
• 11,328 seconds is equal to 3 hours, 8 minutes, 48 seconds.
• To count from 1 to 11,328 would take you about three 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 11328 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11328

• 11328 backwards is 82311
• The number of decimal digits it has is: 5
• The sum of 11328's digits is 15
• More coming soon!