288432375 has 96 divisors (see below), whose sum is σ = 609493248. Its totient is φ = 119784000.

The previous prime is 288432343. The next prime is 288432379. The reversal of 288432375 is 573234882.

It is not a de Polignac number, because 288432375 - 2⁵ = 288432343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288432379) 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 95 ways as a sum of consecutive naturals, for example, 201412 + ... + 202838.

It is an arithmetic number, because the mean of its divisors is an integer number (6348888).

Almost surely, 2^288432375 is an apocalyptic number.

288432375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288432375 is an abundant number, since it is smaller than the sum of its proper divisors (321060873).

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

288432375 is a wasteful number, since it uses less digits than its factorization.

288432375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1453 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 288432375 is about 16983.2969414069. The cubic root of 288432375 is about 660.7157638841.

The spelling of 288432375 in words is "two hundred eighty-eight million, four hundred thirty-two thousand, three hundred seventy-five".