288882 has 24 divisors (see below), whose sum is σ = 683280. Its totient is φ = 87480.

The previous prime is 288877. The next prime is 288907.

288882 is nontrivially palindromic in base 10.

It is an unprimeable number.

288882 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 11 ways as a sum of consecutive naturals, for example, 532 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (28470).

2²⁸⁸⁸⁸² is an apocalyptic number.

288882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

288882 is an abundant number, since it is smaller than the sum of its proper divisors (394398).

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

288882 is a wasteful number, since it uses less digits than its factorization.

288882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1475 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 288882 is about 537.4774413871. The cubic root of 288882 is about 66.1058906239.

It can be divided in two parts, 288 and 882, that multiplied together give a square (254016 = 504²).

The spelling of 288882 in words is "two hundred eighty-eight thousand, eight hundred eighty-two".