231828864 has 96 divisors (see below), whose sum is σ = 654462600. Its totient is φ = 72695808.

The previous prime is 231828859. The next prime is 231828893. The reversal of 231828864 is 468828132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109932 + ... + 112020.

Almost surely, 2^231828864 is an apocalyptic number.

231828864 is a gapful number since it is divisible by the number (24) 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 231828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327231300).

231828864 is an abundant number, since it is smaller than the sum of its proper divisors (422633736).

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

231828864 is a wasteful number, since it uses less digits than its factorization.

231828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2111 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 231828864 is about 15225.9273609196. The cubic root of 231828864 is about 614.3122406120.

The spelling of 231828864 in words is "two hundred thirty-one million, eight hundred twenty-eight thousand, eight hundred sixty-four".