28588800 has 108 divisors (see below), whose sum is σ = 94412360. Its totient is φ = 7618560.

The previous prime is 28588799. The next prime is 28588811. The reversal of 28588800 is 888582.

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, 18456 + ... + 19944.

Almost surely, 2^28588800 is an apocalyptic number.

28588800 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 28588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47206180).

28588800 is an abundant number, since it is smaller than the sum of its proper divisors (65823560).

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

28588800 is a wasteful number, since it uses less digits than its factorization.

28588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 28588800 is about 5346.8495396822. The cubic root of 28588800 is about 305.7726535507.

The spelling of 28588800 in words is "twenty-eight million, five hundred eighty-eight thousand, eight hundred".