# 828

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

What does the number 828 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

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

## Prime factorization of 828:

### 22 × 32 × 23

(2 × 2 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 828 from the Numbermatics database.

### Names of 828

• Cardinal: 828 can be written as Eight hundred twenty-eight.

### Scientific notation

• Scientific notation: 8.28 × 102

### Factors of 828

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 28

### Divisors of 828

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 2184
• Sum of proper divisors (its aliquot sum) s(n): 1356
• 828 is an abundant number, because the sum of its proper divisors (1356) is greater than itself. Its abundance is 528

### Bases of 828

• Binary: 11001111002
• Base-36: N0

### Squares and roots of 828

• 828 squared (8282) is 685584
• 828 cubed (8283) is 567663552
• The square root of 828 is 28.7749891399
• The cube root of 828 is 9.3902418731

### Scales and comparisons

How big is 828?
• 828 seconds is equal to 13 minutes, 48 seconds.
• To count from 1 to 828 would take you about six 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 828 cubic inches would be around 0.8 feet tall.

### Recreational maths with 828

• 828 is the same when its digits are reversed! That makes it a palindromic number.
• 828 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 828's digits is 18
• More coming soon!