756928828512 has 120 divisors (see below), whose sum is σ = 2229707680200. Its totient is φ = 251901467136.

The previous prime is 756928828441. The next prime is 756928828529. The reversal of 756928828512 is 215828829657.

756928828512 is a `hidden beast` number, since 7 + 5 + 6 + 92 + 8 + 8 + 28 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 756928828512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1368564 + ... + 1840332.

It is an arithmetic number, because the mean of its divisors is an integer number (18580897335).

Almost surely, 2^756928828512 is an apocalyptic number.

756928828512 is a gapful number since it is divisible by the number (72) 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 756928828512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114853840100).

756928828512 is an abundant number, since it is smaller than the sum of its proper divisors (1472778851688).

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

756928828512 is a wasteful number, since it uses less digits than its factorization.

756928828512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472410 (or 472393 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 756928828512 in words is "seven hundred fifty-six billion, nine hundred twenty-eight million, eight hundred twenty-eight thousand, five hundred twelve".