2628

2,628 is an even composite number composed of three prime numbers multiplied together.

What does the number 2628 look like?

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

2628 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 2628:

22 × 32 × 73

(2 × 2 × 3 × 3 × 73)

See below for interesting mathematical facts about the number 2628 from the Numbermatics database.


Names of 2628

  • Cardinal: 2628 can be written as Two thousand, six hundred twenty-eight.

Scientific notation

  • Scientific notation: 2.628 × 103

Factors of 2628

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 78

Divisors of 2628

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 6734
  • Sum of proper divisors (its aliquot sum) s(n): 4106
  • 2628 is an abundant number, because the sum of its proper divisors (4106) is greater than itself. Its abundance is 1478

Bases of 2628

  • Binary: 1010010001002
  • Hexadecimal: 0xA44
  • Base-36: 210

Squares and roots of 2628

  • 2628 squared (26282) is 6906384
  • 2628 cubed (26283) is 18149977152
  • The square root of 2628 is 51.2640224719
  • The cube root of 2628 is 13.7998739749

Scales and comparisons

How big is 2628?
  • 2,628 seconds is equal to 43 minutes, 48 seconds.
  • To count from 1 to 2,628 would take you about forty-three 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 2628 cubic inches would be around 1.1 feet tall.

Recreational maths with 2628

  • 2628 backwards is 8262
  • 2628 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 2628's digits is 18
  • More coming soon!

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"Number 2628 - Facts about the integer". Numbermatics.com. 2022. Web. 7 October 2022.

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Numbermatics. (2022). Number 2628 - Facts about the integer. Retrieved 7 October 2022, from https://numbermatics.com/n/2628/

Chicago style:
Numbermatics. 2022. "Number 2628 - Facts about the integer". https://numbermatics.com/n/2628/

The information we have on file for 2628 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 2628, math, Factors of 2628, curriculum, school, college, exams, university, Prime factorization of 2628, STEM, science, technology, engineering, physics, economics, calculator, two thousand, six hundred twenty-eight.

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