28928800 has 36 divisors (see below), whose sum is σ = 70624386. Its totient is φ = 11571200.

The previous prime is 28928789. The next prime is 28928803. The reversal of 28928800 is 882982.

It can be written as a sum of positive squares in 3 ways, for example, as 25040016 + 3888784 = 5004^2 + 1972^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28928800.

It is not an unprimeable number, because it can be changed into a prime (28928803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17281 + ... + 18880.

Almost surely, 2^28928800 is an apocalyptic number.

28928800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28928800 is an abundant number, since it is smaller than the sum of its proper divisors (41695586).

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

28928800 is a wasteful number, since it uses less digits than its factorization.

28928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36181 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 28928800 is about 5378.5499904714. The cubic root of 28928800 is about 306.9800409310.

The spelling of 28928800 in words is "twenty-eight million, nine hundred twenty-eight thousand, eight hundred".