288090900 has 54 divisors (see below), whose sum is σ = 903007742. Its totient is φ = 76824000.

The previous prime is 288090883. The next prime is 288090911. The reversal of 288090900 is 9090882.

It can be written as a sum of positive squares in 3 ways, for example, as 5447556 + 282643344 = 2334^2 + 16812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 159151 + ... + 160950.

Almost surely, 2^288090900 is an apocalyptic number.

288090900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288090900 is an abundant number, since it is smaller than the sum of its proper divisors (614916842).

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

288090900 is a wasteful number, since it uses less digits than its factorization.

288090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320121 (or 320111 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 288090900 is about 16973.2407041201. The cubic root of 288090900 is about 660.4549205231.

The spelling of 288090900 in words is "two hundred eighty-eight million, ninety thousand, nine hundred".