288928 has 12 divisors (see below), whose sum is σ = 568890. Its totient is φ = 144448.

The previous prime is 288913. The next prime is 288929. The reversal of 288928 is 829882.

It can be written as a sum of positive squares in only one way, i.e., 150544 + 138384 = 388^2 + 372^2 .

It is not an unprimeable number, because it can be changed into a prime (288929) by changing a digit.

288928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4483 + ... + 4546.

2²⁸⁸⁹²⁸ is an apocalyptic number.

It is an amenable number.

288928 is a deficient number, since it is larger than the sum of its proper divisors (279962).

288928 is an equidigital number, since it uses as much as digits as its factorization.

288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039 (or 9031 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 288928 is about 537.5202321774. The cubic root of 288928 is about 66.1093992186.

It can be divided in two parts, 28892 and 8, that added together give a square (28900 = 170²).

The spelling of 288928 in words is "two hundred eighty-eight thousand, nine hundred twenty-eight".