# 5328

## 5,328 is an even composite number composed of three prime numbers multiplied together.

What does the number 5328 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

5328 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 5328:

### 24 × 32 × 37

(2 × 2 × 2 × 2 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 5328 from the Numbermatics database.

### Names of 5328

• Cardinal: 5328 can be written as Five thousand, three hundred twenty-eight.

### Scientific notation

• Scientific notation: 5.328 × 103

### Factors of 5328

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 42

### Divisors of 5328

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 15314
• Sum of proper divisors (its aliquot sum) s(n): 9986
• 5328 is an abundant number, because the sum of its proper divisors (9986) is greater than itself. Its abundance is 4658

### Bases of 5328

• Binary: 10100110100002
• Base-36: 440

### Squares and roots of 5328

• 5328 squared (53282) is 28387584
• 5328 cubed (53283) is 151249047552
• The square root of 5328 is 72.9931503635
• The cube root of 5328 is 17.4657834825

### Scales and comparisons

How big is 5328?
• 5,328 seconds is equal to 1 hour, 28 minutes, 48 seconds.
• To count from 1 to 5,328 would take you about twenty-eight minutes.

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 5328 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5328

• 5328 backwards is 8235
• 5328 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5328's digits is 18
• More coming soon!

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"Number 5328 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 5328 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/5328/

Chicago style:
Numbermatics. 2023. "Number 5328 - Facts about the integer". https://numbermatics.com/n/5328/

The information we have on file for 5328 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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