# 13728

## 13,728 is an even composite number composed of four prime numbers multiplied together.

What does the number 13728 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

13728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 13728:

### 25 × 3 × 11 × 13

(2 × 2 × 2 × 2 × 2 × 3 × 11 × 13)

See below for interesting mathematical facts about the number 13728 from the Numbermatics database.

### Names of 13728

• Cardinal: 13728 can be written as Thirteen thousand, seven hundred twenty-eight.

### Scientific notation

• Scientific notation: 1.3728 × 104

### Factors of 13728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 29

### Divisors of 13728

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 42336
• Sum of proper divisors (its aliquot sum) s(n): 28608
• 13728 is an abundant number, because the sum of its proper divisors (28608) is greater than itself. Its abundance is 14880

### Bases of 13728

• Binary: 110101101000002
• Base-36: ALC

### Squares and roots of 13728

• 13728 squared (137282) is 188457984
• 13728 cubed (137283) is 2587151204352
• The square root of 13728 is 117.1665481271
• The cube root of 13728 is 23.9443153451

### Scales and comparisons

How big is 13728?
• 13,728 seconds is equal to 3 hours, 48 minutes, 48 seconds.
• To count from 1 to 13,728 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 13728 cubic inches would be around 2 feet tall.

### Recreational maths with 13728

• 13728 backwards is 82731
• The number of decimal digits it has is: 5
• The sum of 13728's digits is 21
• More coming soon!