284328264 has 64 divisors (see below), whose sum is σ = 821067840. Its totient is φ = 81090560.

The previous prime is 284328251. The next prime is 284328271. The reversal of 284328264 is 462823482.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27189 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (12829185).

Almost surely, 2^284328264 is an apocalyptic number.

284328264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

284328264 is an abundant number, since it is smaller than the sum of its proper divisors (536739576).

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

284328264 is a wasteful number, since it uses less digits than its factorization.

284328264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63390 (or 63386 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 284328264 is about 16862.0361759783. The cubic root of 284328264 is about 657.5670017067.

The spelling of 284328264 in words is "two hundred eighty-four million, three hundred twenty-eight thousand, two hundred sixty-four".