288628864 has 32 divisors (see below), whose sum is σ = 575769600. Its totient is φ = 144122112.

The previous prime is 288628853. The next prime is 288628871. The reversal of 288628864 is 468826882.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×288628864² = 166613242267860992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183409 + ... + 184975.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^288628864 is an apocalyptic number.

It is an amenable number.

288628864 is a deficient number, since it is larger than the sum of its proper divisors (287140736).

288628864 is a wasteful number, since it uses less digits than its factorization.

288628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3008 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The square root of 288628864 is about 16989.0807285150. The cubic root of 288628864 is about 660.8657631240.

The spelling of 288628864 in words is "two hundred eighty-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".