287268 has 24 divisors (see below), whose sum is σ = 689472. Its totient is φ = 93024.

The previous prime is 287257. The next prime is 287269. The reversal of 287268 is 862782.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287268.

It is not an unprimeable number, because it can be changed into a prime (287269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

287268 is a Friedman number, since it can be written as (67*8)^2-28, using all its digits and the basic arithmetic operations.

2²⁸⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

287268 is an abundant number, since it is smaller than the sum of its proper divisors (402204).

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

287268 is a wasteful number, since it uses less digits than its factorization.

287268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 287268 is about 535.9738799606. The cubic root of 287268 is about 65.9825481865.

It can be divided in two parts, 287 and 268, that added together give a palindrome (555).

The spelling of 287268 in words is "two hundred eighty-seven thousand, two hundred sixty-eight".