286383264 has 48 divisors (see below), whose sum is σ = 754010208. Its totient is φ = 95174912.

The previous prime is 286383263. The next prime is 286383277. The reversal of 286383264 is 462383682.

It is a tau number, because it is divible by the number of its divisors (48).

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 (286383263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29014 + ... + 37610.

It is an arithmetic number, because the mean of its divisors is an integer number (15708546).

Almost surely, 2^286383264 is an apocalyptic number.

286383264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

286383264 is an abundant number, since it is smaller than the sum of its proper divisors (467626944).

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

286383264 is a wasteful number, since it uses less digits than its factorization.

286383264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8957 (or 8949 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 286383264 is about 16922.8621692668. The cubic root of 286383264 is about 659.1474022900.

The spelling of 286383264 in words is "two hundred eighty-six million, three hundred eighty-three thousand, two hundred sixty-four".