288838976 has 56 divisors (see below), whose sum is σ = 618454440. Its totient is φ = 133332992.

The previous prime is 288838933. The next prime is 288838999. The reversal of 288838976 is 679838882.

It can be written as a sum of positive squares in 4 ways, for example, as 103225600 + 185613376 = 10160^2 + 13624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55160 + ... + 60168.

Almost surely, 2^288838976 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 288838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309227220).

288838976 is an abundant number, since it is smaller than the sum of its proper divisors (329615464).

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

288838976 is a wasteful number, since it uses less digits than its factorization.

288838976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5081 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 59.

The square root of 288838976 is about 16995.2633401192. The cubic root of 288838976 is about 661.0260868292.

The spelling of 288838976 in words is "two hundred eighty-eight million, eight hundred thirty-eight thousand, nine hundred seventy-six".