208800928 has 48 divisors (see below), whose sum is σ = 486017280. Its totient is φ = 86397696.

The previous prime is 208800901. The next prime is 208800929. The reversal of 208800928 is 829008802.

208800928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208800928² = 87195655067322368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208800929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9576 + ... + 22567.

It is an arithmetic number, because the mean of its divisors is an integer number (10125360).

Almost surely, 2^208800928 is an apocalyptic number.

208800928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

208800928 is an abundant number, since it is smaller than the sum of its proper divisors (277216352).

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

208800928 is a wasteful number, since it uses less digits than its factorization.

208800928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32189 (or 32181 counting only the distinct ones).

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

The square root of 208800928 is about 14449.9456054340. The cubic root of 208800928 is about 593.2587351682.

It can be divided in two parts, 208800 and 928, that multiplied together give a square (193766400 = 13920²).

The spelling of 208800928 in words is "two hundred eight million, eight hundred thousand, nine hundred twenty-eight".