288882944 has 144 divisors (see below), whose sum is σ = 707976192. Its totient is φ = 114960384.

The previous prime is 288882943. The next prime is 288882947. The reversal of 288882944 is 449288882.

288882944 = 1432² + 1433² + ... + 1560².

It is not an unprimeable number, because it can be changed into a prime (288882943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1772207 + ... + 1772369.

Almost surely, 2^288882944 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 288882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353988096).

288882944 is an abundant number, since it is smaller than the sum of its proper divisors (419093248).

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

288882944 is a wasteful number, since it uses less digits than its factorization.

288882944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 53.

The square root of 288882944 is about 16996.5568277813. The cubic root of 288882944 is about 661.0596263013.

The spelling of 288882944 in words is "two hundred eighty-eight million, eight hundred eighty-two thousand, nine hundred forty-four".