288696864 has 48 divisors (see below), whose sum is σ = 762253632. Its totient is φ = 95670528.

The previous prime is 288696833. The next prime is 288696899. The reversal of 288696864 is 468696882.

It is a tau number, because it is divible by the number of its divisors (48).

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, 7917 + ... + 25299.

It is an arithmetic number, because the mean of its divisors is an integer number (15880284).

Almost surely, 2^288696864 is an apocalyptic number.

288696864 is a gapful number since it is divisible by the number (24) 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 288696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381126816).

288696864 is an abundant number, since it is smaller than the sum of its proper divisors (473556768).

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

288696864 is a wasteful number, since it uses less digits than its factorization.

288696864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17569 (or 17561 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The square root of 288696864 is about 16991.0818961007. The cubic root of 288696864 is about 660.9176583070.

The spelling of 288696864 in words is "two hundred eighty-eight million, six hundred ninety-six thousand, eight hundred sixty-four".