288090564 has 48 divisors (see below), whose sum is σ = 702750720. Its totient is φ = 91746720.

The previous prime is 288090557. The next prime is 288090581. The reversal of 288090564 is 465090882.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24487 + ... + 34289.

It is an arithmetic number, because the mean of its divisors is an integer number (14640640).

Almost surely, 2^288090564 is an apocalyptic number.

It is an amenable number.

288090564 is an abundant number, since it is smaller than the sum of its proper divisors (414660156).

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

288090564 is a wasteful number, since it uses less digits than its factorization.

288090564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 288090564 is about 16973.2308061842. The cubic root of 288090564 is about 660.4546637604.

The spelling of 288090564 in words is "two hundred eighty-eight million, ninety thousand, five hundred sixty-four".