| Base | Representation |
|---|---|
| bin | 110110111111… |
| … | …0010010000000 |
| 3 | 2000020122200100 |
| 4 | 1231332102000 |
| 5 | 24340010200 |
| 6 | 2505522400 |
| 7 | 500016660 |
| oct | 155762200 |
| 9 | 60218610 |
| 10 | 28828800 |
| 11 | 15300560 |
| 12 | 97a3400 |
| 13 | 5c84b80 |
| 14 | 3b861a0 |
| 15 | 27e6d00 |
| hex | 1b7e480 |
28828800 has 576 divisors, whose sum is σ = 138116160. Its totient is φ = 5529600.
The previous prime is 28828799. The next prime is 28828801. The reversal of 28828800 is 882882.
It is an interprime number because it is at equal distance from previous prime (28828799) and next prime (28828801).
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (28828801) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217594 + ... + 2217606.
It is an arithmetic number, because the mean of its divisors is an integer number (239785).
Almost surely, 228828800 is an apocalyptic number.
28828800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 28828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).
28828800 is an abundant number, since it is smaller than the sum of its proper divisors (109287360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28828800 is a wasteful number, since it uses less digits than its factorization.
28828800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 61 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 36.
The square root of 28828800 is about 5369.2457570873. The cubic root of 28828800 is about 306.6259135091.
Multiplying 28828800 by its reverse (882882), we get a square (25452428601600 = 50450402).
It can be divided in two parts, 288 and 28800, that multiplied together give a square (8294400 = 28802).
The spelling of 28828800 in words is "twenty-eight million, eight hundred twenty-eight thousand, eight hundred".
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