286939368 has 128 divisors (see below), whose sum is σ = 846720000. Its totient is φ = 89781696.

The previous prime is 286939363. The next prime is 286939397. The reversal of 286939368 is 863939682.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (286939363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570205 + ... + 570707.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^286939368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286939368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

286939368 is an abundant number, since it is smaller than the sum of its proper divisors (559780632).

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

286939368 is a wasteful number, since it uses less digits than its factorization.

286939368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 286939368 is about 16939.2847546760. The cubic root of 286939368 is about 659.5737743911.

It can be divided in two parts, 28 and 6939368, that added together give a palindrome (6939396).

The spelling of 286939368 in words is "two hundred eighty-six million, nine hundred thirty-nine thousand, three hundred sixty-eight".