288868640 has 48 divisors (see below), whose sum is σ = 684142200. Its totient is φ = 115261440.

The previous prime is 288868631. The next prime is 288868651. The reversal of 288868640 is 46868882.

It can be written as a sum of positive squares in 4 ways, for example, as 175403536 + 113465104 = 13244^2 + 10652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69830 + ... + 73850.

Almost surely, 2^288868640 is an apocalyptic number.

288868640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288868640 is an abundant number, since it is smaller than the sum of its proper divisors (395273560).

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

288868640 is a wasteful number, since it uses less digits than its factorization.

288868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

The square root of 288868640 is about 16996.1360314632. The cubic root of 288868640 is about 661.0487153619.

The spelling of 288868640 in words is "two hundred eighty-eight million, eight hundred sixty-eight thousand, six hundred forty".