28532800 has 84 divisors (see below), whose sum is σ = 74409300. Its totient is φ = 10731520.

The previous prime is 28532797. The next prime is 28532831. The reversal of 28532800 is 823582.

It can be written as a sum of positive squares in 6 ways, for example, as 1658944 + 26873856 = 1288^2 + 5184^2 .

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, 26676 + ... + 27724.

It is an arithmetic number, because the mean of its divisors is an integer number (885825).

Almost surely, 2^28532800 is an apocalyptic number.

28532800 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 28532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37204650).

28532800 is an abundant number, since it is smaller than the sum of its proper divisors (45876500).

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

28532800 is a wasteful number, since it uses less digits than its factorization.

28532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 28532800 is about 5341.6102441118. The cubic root of 28532800 is about 305.5728729702.

The spelling of 28532800 in words is "twenty-eight million, five hundred thirty-two thousand, eight hundred".