288795 has 16 divisors (see below), whose sum is σ = 497952. Its totient is φ = 142080.

The previous prime is 288773. The next prime is 288803. The reversal of 288795 is 597882.

288795 = 143² + 144² + ... + 155².

It is not a de Polignac number, because 288795 - 2⁶ = 288731 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2²⁸⁸⁷⁹⁵ is an apocalyptic number.

288795 is a deficient number, since it is larger than the sum of its proper divisors (209157).

288795 is a wasteful number, since it uses less digits than its factorization.

288795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502.

The product of its digits is 40320, while the sum is 39.

The square root of 288795 is about 537.3965016633. The cubic root of 288795 is about 66.0992537850.

The spelling of 288795 in words is "two hundred eighty-eight thousand, seven hundred ninety-five".