28332800 has 108 divisors (see below), whose sum is σ = 74135880. Its totient is φ = 10690560.

The previous prime is 28332751. The next prime is 28332847. The reversal of 28332800 is 823382.

It is a self number, because there is not a number n which added to its sum of digits gives 28332800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121484 + ... + 121716.

Almost surely, 2^28332800 is an apocalyptic number.

28332800 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 28332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37067940).

28332800 is an abundant number, since it is smaller than the sum of its proper divisors (45803080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28332800 is a wasteful number, since it uses less digits than its factorization.

28332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 28332800 is about 5322.8563760447. The cubic root of 28332800 is about 304.8572296053.

The spelling of 28332800 in words is "twenty-eight million, three hundred thirty-two thousand, eight hundred".