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
  • Hexadecimal: 0x33C
  • 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!

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"Number 828 - Facts about the integer". Numbermatics.com. 2023. Web. 8 December 2023.

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Numbermatics. (2023). Number 828 - Facts about the integer. Retrieved 8 December 2023, from https://numbermatics.com/n/828/

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Numbermatics. 2023. "Number 828 - Facts about the integer". https://numbermatics.com/n/828/

The information we have on file for 828 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 828, math, Factors of 828, curriculum, school, college, exams, university, Prime factorization of 828, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight.

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