288520 has 16 divisors (see below), whose sum is σ = 649260. Its totient is φ = 115392.

The previous prime is 288499. The next prime is 288527. The reversal of 288520 is 25882.

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 3364 = 534^2 + 58^2 .

It is not an unprimeable number, because it can be changed into a prime (288527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3567 + ... + 3646.

2²⁸⁸⁵²⁰ is an apocalyptic number.

288520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288520 is an abundant number, since it is smaller than the sum of its proper divisors (360740).

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

288520 is a wasteful number, since it uses less digits than its factorization.

288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 288520 is about 537.1405775028. The cubic root of 288520 is about 66.0782665016.

It can be divided in two parts, 288 and 520, that added together give a palindrome (808).

The spelling of 288520 in words is "two hundred eighty-eight thousand, five hundred twenty".