288390864 has 20 divisors (see below), whose sum is σ = 745009856. Its totient is φ = 96130272.

The previous prime is 288390863. The next prime is 288390871. The reversal of 288390864 is 468093882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 6008143 = 288390864 / (2 + 8 + 8 + 3 + 9 + 0 + 8 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288390863) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3004024 + ... + 3004119.

Almost surely, 2^288390864 is an apocalyptic number.

288390864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

288390864 is an abundant number, since it is smaller than the sum of its proper divisors (456618992).

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

288390864 is a wasteful number, since it uses less digits than its factorization.

288390864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008154 (or 6008148 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 288390864 is about 16982.0747849019. The cubic root of 288390864 is about 660.6840657689.

The spelling of 288390864 in words is "two hundred eighty-eight million, three hundred ninety thousand, eight hundred sixty-four".