# 1628

## 1,628 is an even composite number composed of three prime numbers multiplied together.

What does the number 1628 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1628 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1628:

### 22 × 11 × 37

(2 × 2 × 11 × 37)

See below for interesting mathematical facts about the number 1628 from the Numbermatics database.

### Names of 1628

• Cardinal: 1628 can be written as One thousand, six hundred twenty-eight.

### Scientific notation

• Scientific notation: 1.628 × 103

### Factors of 1628

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 50

### Divisors of 1628

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3192
• Sum of proper divisors (its aliquot sum) s(n): 1564
• 1628 is a deficient number, because the sum of its proper divisors (1564) is less than itself. Its deficiency is 64

### Bases of 1628

• Binary: 110010111002
• Base-36: 198

### Squares and roots of 1628

• 1628 squared (16282) is 2650384
• 1628 cubed (16283) is 4314825152
• The square root of 1628 is 40.3484820037
• The cube root of 1628 is 11.7639038669

### Scales and comparisons

How big is 1628?
• 1,628 seconds is equal to 27 minutes, 8 seconds.
• To count from 1 to 1,628 would take you about twenty-seven 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 1628 cubic inches would be around 1 feet tall.

### Recreational maths with 1628

• 1628 backwards is 8261
• The number of decimal digits it has is: 4
• The sum of 1628's digits is 17
• More coming soon!