288788256 has 144 divisors (see below), whose sum is σ = 865316088. Its totient is φ = 91238400.

The previous prime is 288788249. The next prime is 288788261. The reversal of 288788256 is 652887882.

It can be written as a sum of positive squares in 4 ways, for example, as 265168656 + 23619600 = 16284^2 + 4860^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436566 + ... + 437226.

Almost surely, 2^288788256 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 288788256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432658044).

288788256 is an abundant number, since it is smaller than the sum of its proper divisors (576527832).

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

288788256 is a wasteful number, since it uses less digits than its factorization.

288788256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 288788256 is about 16993.7710941392. The cubic root of 288788256 is about 660.9873925987.

It can be divided in two parts, 288 and 788256, that added together give a square (788544 = 888²).

The spelling of 288788256 in words is "two hundred eighty-eight million, seven hundred eighty-eight thousand, two hundred fifty-six".