864832128 has 64 divisors (see below), whose sum is σ = 2300361120. Its totient is φ = 287882240.

The previous prime is 864832127. The next prime is 864832159. The reversal of 864832128 is 821238468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 864832128.

It is not an unprimeable number, because it can be changed into a prime (864832127) 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, 452551 + ... + 454457.

Almost surely, 2^864832128 is an apocalyptic number.

It is an amenable number.

864832128 is an abundant number, since it is smaller than the sum of its proper divisors (1435528992).

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

864832128 is a wasteful number, since it uses less digits than its factorization.

864832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3093 counting only the distinct ones).

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

The square root of 864832128 is about 29408.0282916077. The cubic root of 864832128 is about 952.7463017885.

The spelling of 864832128 in words is "eight hundred sixty-four million, eight hundred thirty-two thousand, one hundred twenty-eight".