288664320 has 144 divisors (see below), whose sum is σ = 1053722880. Its totient is φ = 65974272.

The previous prime is 288664319. The next prime is 288664339. The reversal of 288664320 is 23466882.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21511 + ... + 32249.

It is an arithmetic number, because the mean of its divisors is an integer number (7317520).

Almost surely, 2^288664320 is an apocalyptic number.

288664320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526861440).

288664320 is an abundant number, since it is smaller than the sum of its proper divisors (765058560).

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

288664320 is a wasteful number, since it uses less digits than its factorization.

288664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10770 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 288664320 is about 16990.1241902465. The cubic root of 288664320 is about 660.8928228998.

The spelling of 288664320 in words is "two hundred eighty-eight million, six hundred sixty-four thousand, three hundred twenty".