# 28224

## 28,224 is an even composite number composed of three prime numbers multiplied together.

What does the number 28224 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 63 divisors.

28224 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-three divisors.

## Prime factorization of 28224:

### 26 × 32 × 72

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 28224 from the Numbermatics database.

### Names of 28224

• Cardinal: 28224 can be written as Twenty-eight thousand, two hundred twenty-four.

### Scientific notation

• Scientific notation: 2.8224 × 104

### Factors of 28224

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 28224

• Number of divisors d(n): 63
• Complete list of divisors:
• Sum of all divisors σ(n): 94107
• Sum of proper divisors (its aliquot sum) s(n): 65883
• 28224 is an abundant number, because the sum of its proper divisors (65883) is greater than itself. Its abundance is 37659

### Bases of 28224

• Binary: 1101110010000002
• Base-36: LS0

### Squares and roots of 28224

• 28224 squared (282242) is 796594176
• 28224 cubed (282243) is 22483074023424
• 28224 is a perfect square number. Its square root is 168
• The cube root of 28224 is 30.4466504441

### Scales and comparisons

How big is 28224?
• 28,224 seconds is equal to 7 hours, 50 minutes, 24 seconds.
• To count from 1 to 28,224 would take you about seven 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 28224 cubic inches would be around 2.5 feet tall.

### Recreational maths with 28224

• 28224 backwards is 42282
• 28224 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 28224's digits is 18
• More coming soon!