288138375 has 72 divisors (see below), whose sum is σ = 604335888. Its totient is φ = 131695200.

The previous prime is 288138371. The next prime is 288138407. The reversal of 288138375 is 573831882.

It is not a de Polignac number, because 288138375 - 2² = 288138371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 288138375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288138371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52512 + ... + 57738.

It is an arithmetic number, because the mean of its divisors is an integer number (8393554).

Almost surely, 2^288138375 is an apocalyptic number.

288138375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288138375 is an abundant number, since it is smaller than the sum of its proper divisors (316197513).

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

288138375 is a wasteful number, since it uses less digits than its factorization.

288138375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5242 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 288138375 is about 16974.6391714228. The cubic root of 288138375 is about 660.4911977017.

The spelling of 288138375 in words is "two hundred eighty-eight million, one hundred thirty-eight thousand, three hundred seventy-five".