# 4928

## 4,928 is an even composite number composed of three prime numbers multiplied together.

What does the number 4928 look like?

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

4928 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 4928:

### 26 × 7 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11)

See below for interesting mathematical facts about the number 4928 from the Numbermatics database.

### Names of 4928

• Cardinal: 4928 can be written as Four thousand, nine hundred twenty-eight.

### Scientific notation

• Scientific notation: 4.928 × 103

### Factors of 4928

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 20

### Divisors of 4928

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 12192
• Sum of proper divisors (its aliquot sum) s(n): 7264
• 4928 is an abundant number, because the sum of its proper divisors (7264) is greater than itself. Its abundance is 2336

### Bases of 4928

• Binary: 10011010000002
• Base-36: 3SW

### Squares and roots of 4928

• 4928 squared (49282) is 24285184
• 4928 cubed (49283) is 119677386752
• The square root of 4928 is 70.1997150991
• The cube root of 4928 is 17.0172834605

### Scales and comparisons

How big is 4928?
• 4,928 seconds is equal to 22 minutes, 8 seconds.
• To count from 1 to 4,928 would take you about twenty-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 4928 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4928

• 4928 backwards is 8294
• The number of decimal digits it has is: 4
• The sum of 4928's digits is 23
• More coming soon!