287868 has 48 divisors (see below), whose sum is σ = 806400. Its totient is φ = 78144.

The previous prime is 287867. The next prime is 287873. The reversal of 287868 is 868782.

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 287868.

It is not an unprimeable number, because it can be changed into a prime (287863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2²⁸⁷⁸⁶⁸ is an apocalyptic number.

287868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

287868 is an abundant number, since it is smaller than the sum of its proper divisors (518532).

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

287868 is a wasteful number, since it uses less digits than its factorization.

287868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 287868 is about 536.5333167661. The cubic root of 287868 is about 66.0284542139.

The spelling of 287868 in words is "two hundred eighty-seven thousand, eight hundred sixty-eight".