288292095 has 128 divisors (see below), whose sum is σ = 652001280. Its totient is φ = 117573120.

The previous prime is 288292087. The next prime is 288292099. The reversal of 288292095 is 590292882.

It is not a de Polignac number, because 288292095 - 2³ = 288292087 is a prime.

It is a super-2 number, since 2×288292095² = 166224664078978050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 288292095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288292099) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 380457 + ... + 381213.

It is an arithmetic number, because the mean of its divisors is an integer number (5093760).

Almost surely, 2^288292095 is an apocalyptic number.

288292095 is an abundant number, since it is smaller than the sum of its proper divisors (363709185).

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

288292095 is a wasteful number, since it uses less digits than its factorization.

288292095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 288292095 is about 16979.1664989775. The cubic root of 288292095 is about 660.6086327789.

The spelling of 288292095 in words is "two hundred eighty-eight million, two hundred ninety-two thousand, ninety-five".