288656256 has 288 divisors, whose sum is σ = 964542600. Its totient is φ = 76167168.

The previous prime is 288656237. The next prime is 288656299. The reversal of 288656256 is 652656882.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1382400) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9953650 + ... + 9953678.

Almost surely, 2^288656256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482271300).

288656256 is an abundant number, since it is smaller than the sum of its proper divisors (675886344).

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

288656256 is a wasteful number, since it uses less digits than its factorization.

288656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 288656256 is about 16989.8868742555. The cubic root of 288656256 is about 660.8866687051.

The spelling of 288656256 in words is "two hundred eighty-eight million, six hundred fifty-six thousand, two hundred fifty-six".