288992 has 24 divisors (see below), whose sum is σ = 621432. Its totient is φ = 131200.

The previous prime is 288991. The next prime is 288997. The reversal of 288992 is 299882.

288992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 288992.

It is not an unprimeable number, because it can be changed into a prime (288991) 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, 59 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (25893).

2²⁸⁸⁹⁹² is an apocalyptic number.

288992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

288992 is an abundant number, since it is smaller than the sum of its proper divisors (332440).

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

288992 is a wasteful number, since it uses less digits than its factorization.

288992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 288992 is about 537.5797615238. The cubic root of 288992 is about 66.1142801223.

The spelling of 288992 in words is "two hundred eighty-eight thousand, nine hundred ninety-two".