288368 has 20 divisors (see below), whose sum is σ = 569160. Its totient is φ = 141504.

The previous prime is 288361. The next prime is 288383. The reversal of 288368 is 863882.

It is a Cunningham number, because it is equal to 537²-1.

It is a super-2 number, since 2×288368² = 166312206848, which contains 22 as substring.

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 288368.

It is not an unprimeable number, because it can be changed into a prime (288361) by changing a digit.

288368 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 3 ways as a sum of consecutive naturals, for example, 938 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (28458).

2²⁸⁸³⁶⁸ is an apocalyptic number.

It is an amenable number.

288368 is a deficient number, since it is larger than the sum of its proper divisors (280792).

288368 is a wasteful number, since it uses less digits than its factorization.

288368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 288368 is about 536.9990689005. Note that the first 3 decimals coincide. The cubic root of 288368 is about 66.0666605346.

It can be divided in two parts, 288 and 368, that added together give a palindrome (656).

The spelling of 288368 in words is "two hundred eighty-eight thousand, three hundred sixty-eight".