# 3728

## 3,728 is an even composite number composed of two prime numbers multiplied together.

What does the number 3728 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

3728 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 3728:

### 24 × 233

(2 × 2 × 2 × 2 × 233)

See below for interesting mathematical facts about the number 3728 from the Numbermatics database.

### Names of 3728

• Cardinal: 3728 can be written as Three thousand, seven hundred twenty-eight.

### Scientific notation

• Scientific notation: 3.728 × 103

### Factors of 3728

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 235

### Divisors of 3728

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 7254
• Sum of proper divisors (its aliquot sum) s(n): 3526
• 3728 is a deficient number, because the sum of its proper divisors (3526) is less than itself. Its deficiency is 202

### Bases of 3728

• Binary: 1110100100002
• Base-36: 2VK

### Squares and roots of 3728

• 3728 squared (37282) is 13897984
• 3728 cubed (37283) is 51811684352
• The square root of 3728 is 61.0573500899
• The cube root of 3728 is 15.5057210931

### Scales and comparisons

How big is 3728?
• 3,728 seconds is equal to 1 hour, 2 minutes, 8 seconds.
• To count from 1 to 3,728 would take you about two 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 3728 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3728

• 3728 backwards is 8273
• The number of decimal digits it has is: 4
• The sum of 3728's digits is 20
• More coming soon!