28208800 has 72 divisors (see below), whose sum is σ = 70800156. Its totient is φ = 10967040.

The previous prime is 28208783. The next prime is 28208819. The reversal of 28208800 is 880282.

It can be written as a sum of positive squares in 6 ways, for example, as 15335056 + 12873744 = 3916^2 + 3588^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29124 + ... + 30076.

Almost surely, 2^28208800 is an apocalyptic number.

28208800 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 28208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35400078).

28208800 is an abundant number, since it is smaller than the sum of its proper divisors (42591356).

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

28208800 is a wasteful number, since it uses less digits than its factorization.

28208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 28208800 is about 5311.1957222456. The cubic root of 28208800 is about 304.4118379407.

The spelling of 28208800 in words is "twenty-eight million, two hundred eight thousand, eight hundred".