864191328 has 576 divisors, whose sum is σ = 3371300352. Its totient is φ = 186531840.

The previous prime is 864191323. The next prime is 864191381. The reversal of 864191328 is 823191468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 864191328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864191323) 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 95 ways as a sum of consecutive naturals, for example, 37573525 + ... + 37573547.

It is an arithmetic number, because the mean of its divisors is an integer number (5852952).

Almost surely, 2^864191328 is an apocalyptic number.

864191328 is a gapful number since it is divisible by the number (88) 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 864191328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685650176).

864191328 is an abundant number, since it is smaller than the sum of its proper divisors (2507109024).

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

864191328 is a wasteful number, since it uses less digits than its factorization.

864191328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 864191328 is about 29397.1312886139. The cubic root of 864191328 is about 952.5109302209.

The spelling of 864191328 in words is "eight hundred sixty-four million, one hundred ninety-one thousand, three hundred twenty-eight".