# 1728

## 1,728 is an even composite number composed of two prime numbers multiplied together.

What does the number 1728 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 28 divisors.

1728 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 1728:

### 26 × 33

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 1728 from the Numbermatics database.

### Names of 1728

• Cardinal: 1728 can be written as One thousand, seven hundred twenty-eight.

### Scientific notation

• Scientific notation: 1.728 × 103

### Factors of 1728

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 5

### Divisors of 1728

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 5080
• Sum of proper divisors (its aliquot sum) s(n): 3352
• 1728 is an abundant number, because the sum of its proper divisors (3352) is greater than itself. Its abundance is 1624

### Bases of 1728

• Binary: 110110000002
• Base-36: 1C0

### Squares and roots of 1728

• 1728 squared (17282) is 2985984
• 1728 cubed (17283) is 5159780352
• The square root of 1728 is 41.5692193817
• 1728 is a perfect cube number. Its cube root is 12

### Scales and comparisons

How big is 1728?
• 1,728 seconds is equal to 28 minutes, 48 seconds.
• To count from 1 to 1,728 would take you about twenty-eight 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 1728 cubic inches would be around 1 feet tall.

### Recreational maths with 1728

• 1728 backwards is 8271
• 1728 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1728's digits is 18
• More coming soon!

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"Number 1728 - Facts about the integer". Numbermatics.com. 2023. Web. 7 June 2023.

APA style:
Numbermatics. (2023). Number 1728 - Facts about the integer. Retrieved 7 June 2023, from https://numbermatics.com/n/1728/

Chicago style:
Numbermatics. 2023. "Number 1728 - Facts about the integer". https://numbermatics.com/n/1728/

The information we have on file for 1728 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 1728, math, Factors of 1728, curriculum, school, college, exams, university, Prime factorization of 1728, STEM, science, technology, engineering, physics, economics, calculator, one thousand, seven hundred twenty-eight.

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