288092 has 12 divisors (see below), whose sum is σ = 576240. Its totient is φ = 123456.

The previous prime is 288089. The next prime is 288109. The reversal of 288092 is 290882.

288092 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 288092.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5117 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (48020).

2²⁸⁸⁰⁹² is an apocalyptic number.

It is an amenable number.

288092 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

288092 is a wasteful number, since it uses less digits than its factorization.

288092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 288092 is about 536.7420236948. The cubic root of 288092 is about 66.0455761114.

It can be divided in two parts, 28 and 8092, that multiplied together give a square (226576 = 476²).

The spelling of 288092 in words is "two hundred eighty-eight thousand, ninety-two".