823728

823,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 823728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

823728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 823728:

2⁴ × 3 × 131²

(2 × 2 × 2 × 2 × 3 × 131 × 131)

See below for interesting mathematical facts about the number 823728 from the Numbermatics database.

Names of 823728

Cardinal: 823728 can be written as Eight hundred twenty-three thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 8.23728 × 10⁵

Factors of 823728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 136

Divisors of 823728

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 17161 34322 51483 68644 102966 137288 205932 274576 411864 823728
Sum of all divisors σ(n): 2144332
Sum of proper divisors (its aliquot sum) s(n): 1320604
823728 is an abundant number, because the sum of its proper divisors (1320604) is greater than itself. Its abundance is 496876

Bases of 823728

Binary: 11001001000110110000₂
Hexadecimal: 0xC91B0
Base-36: HNLC

Squares and roots of 823728

823728 squared (823728²) is 678527817984
823728 cubed (823728³) is 558922362452324352
The square root of 823728 is 907.5946231661
The cube root of 823728 is 93.7406461779

Scales and comparisons

How big is 823728?

823,728 seconds is equal to 1 week, 2 days, 12 hours, 48 minutes, 48 seconds.
To count from 1 to 823,728 would take you about two days!

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 823728 cubic inches would be around 7.8 feet tall.

Recreational maths with 823728

823728 backwards is 827328
The number of decimal digits it has is: 6
The sum of 823728's digits is 30
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/823728/?utm_source=shared">Number 823728 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/823728/?utm_source=shared]Number 823728 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 823728 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 823728 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/823728/

Chicago style:
Numbermatics. 2024. "Number 823728 - Facts about the integer". https://numbermatics.com/n/823728/

The information we have on file for 823728 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 823728, math, Factors of 823728, curriculum, school, college, exams, university, Prime factorization of 823728, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-three thousand, seven hundred twenty-eight.