288752 has 10 divisors (see below), whose sum is σ = 559488. Its totient is φ = 144368.

The previous prime is 288751. The next prime is 288767. The reversal of 288752 is 257882.

288752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288752.

It is not an unprimeable number, because it can be changed into a prime (288751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9008 + ... + 9039.

2²⁸⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

288752 is a deficient number, since it is larger than the sum of its proper divisors (270736).

288752 is a wasteful number, since it uses less digits than its factorization.

288752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18055 (or 18049 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 288752 is about 537.3564924703. The cubic root of 288752 is about 66.0959730160.

The spelling of 288752 in words is "two hundred eighty-eight thousand, seven hundred fifty-two".