288903825 has 72 divisors (see below), whose sum is σ = 601598400. Its totient is φ = 129790080.

The previous prime is 288903817. The next prime is 288903841. The reversal of 288903825 is 528309882.

It is not a de Polignac number, because 288903825 - 2³ = 288903817 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91371 + ... + 94479.

Almost surely, 2^288903825 is an apocalyptic number.

288903825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288903825 is an abundant number, since it is smaller than the sum of its proper divisors (312694575).

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

288903825 is a wasteful number, since it uses less digits than its factorization.

288903825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 288903825 is about 16997.1710881546. The cubic root of 288903825 is about 661.0755534601.

The spelling of 288903825 in words is "two hundred eighty-eight million, nine hundred three thousand, eight hundred twenty-five".