288831825 has 60 divisors (see below), whose sum is σ = 563250160. Its totient is φ = 145916640.

The previous prime is 288831761. The next prime is 288831833. The reversal of 288831825 is 528138882.

It is not a de Polignac number, because 288831825 - 2⁶ = 288831761 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34722 + ... + 42228.

Almost surely, 2^288831825 is an apocalyptic number.

288831825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288831825 is a deficient number, since it is larger than the sum of its proper divisors (274418335).

288831825 is a wasteful number, since it uses less digits than its factorization.

288831825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 7534 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 288831825 is about 16995.0529566695. The cubic root of 288831825 is about 661.0206316137.

The spelling of 288831825 in words is "two hundred eighty-eight million, eight hundred thirty-one thousand, eight hundred twenty-five".