# 2828

## 2,828 is an even composite number composed of three prime numbers multiplied together.

What does the number 2828 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2828 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2828:

### 22 × 7 × 101

(2 × 2 × 7 × 101)

See below for interesting mathematical facts about the number 2828 from the Numbermatics database.

### Names of 2828

• Cardinal: 2828 can be written as Two thousand, eight hundred twenty-eight.

### Scientific notation

• Scientific notation: 2.828 × 103

### Factors of 2828

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 110

### Divisors of 2828

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 5712
• Sum of proper divisors (its aliquot sum) s(n): 2884
• 2828 is an abundant number, because the sum of its proper divisors (2884) is greater than itself. Its abundance is 56

### Bases of 2828

• Binary: 1011000011002
• Base-36: 26K

### Squares and roots of 2828

• 2828 squared (28282) is 7997584
• 2828 cubed (28283) is 22617167552
• The square root of 2828 is 53.1789432013
• The cube root of 2828 is 14.1414237133

### Scales and comparisons

How big is 2828?
• 2,828 seconds is equal to 47 minutes, 8 seconds.
• To count from 1 to 2,828 would take you about forty-seven 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 2828 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2828

• 2828 backwards is 8282
• The number of decimal digits it has is: 4
• The sum of 2828's digits is 20
• More coming soon!