286888 has 32 divisors (see below), whose sum is σ = 633600. Its totient is φ = 119232.

The previous prime is 286873. The next prime is 286927. The reversal of 286888 is 888682.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁴ + 8 + 8² + 6⁵ + 8³ + 8⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 286888.

It is an unprimeable number.

286888 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 7 ways as a sum of consecutive naturals, for example, 2578 + ... + 2686.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2²⁸⁶⁸⁸⁸ is an apocalyptic number.

286888 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 286888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316800).

286888 is an abundant number, since it is smaller than the sum of its proper divisors (346712).

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

286888 is a wasteful number, since it uses less digits than its factorization.

286888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 286888 is about 535.6192677640. The cubic root of 286888 is about 65.9534412989.

The spelling of 286888 in words is "two hundred eighty-six thousand, eight hundred eighty-eight".