288808 has 16 divisors (see below), whose sum is σ = 583380. Its totient is φ = 133248.

The previous prime is 288803. The next prime is 288817. The reversal of 288808 is 808882.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 40804 = 498^2 + 202^2 .

It is not an unprimeable number, because it can be changed into a prime (288803) by changing a digit.

288808 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 in 3 ways as a sum of consecutive naturals, for example, 1285 + ... + 1492.

2²⁸⁸⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

288808 is an abundant number, since it is smaller than the sum of its proper divisors (294572).

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

288808 is a wasteful number, since it uses less digits than its factorization.

288808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 288808 is about 537.4085968795. The cubic root of 288808 is about 66.1002455812.

It can be divided in two parts, 28 and 8808, that added together give a square (8836 = 94²).

The spelling of 288808 in words is "two hundred eighty-eight thousand, eight hundred eight".