# 8028

## 8,028 is an even composite number composed of three prime numbers multiplied together.

What does the number 8028 look like?

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

8028 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 8028:

### 22 × 32 × 223

(2 × 2 × 3 × 3 × 223)

See below for interesting mathematical facts about the number 8028 from the Numbermatics database.

### Names of 8028

• Cardinal: 8028 can be written as Eight thousand and twenty-eight.

### Scientific notation

• Scientific notation: 8.028 × 103

### Factors of 8028

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 228

### Divisors of 8028

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 20384
• Sum of proper divisors (its aliquot sum) s(n): 12356
• 8028 is an abundant number, because the sum of its proper divisors (12356) is greater than itself. Its abundance is 4328

### Bases of 8028

• Binary: 11111010111002
• Base-36: 670

### Squares and roots of 8028

• 8028 squared (80282) is 64448784
• 8028 cubed (80283) is 517394837952
• The square root of 8028 is 89.5991071383
• The cube root of 8028 is 20.0233061639

### Scales and comparisons

How big is 8028?
• 8,028 seconds is equal to 2 hours, 13 minutes, 48 seconds.
• To count from 1 to 8,028 would take you about two hours.

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 8028 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8028

• 8028 backwards is 8208
• 8028 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8028's digits is 18
• More coming soon!

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