828831376744 has 128 divisors (see below), whose sum is σ = 1872877824000. Its totient is φ = 343368668160.

The previous prime is 828831376733. The next prime is 828831376801. The reversal of 828831376744 is 447673138828.

It is a super-2 number, since 2×828831376744² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83102542 + ... + 83112514.

It is an arithmetic number, because the mean of its divisors is an integer number (14631858000).

Almost surely, 2^828831376744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828831376744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936438912000).

828831376744 is an abundant number, since it is smaller than the sum of its proper divisors (1044046447256).

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

828831376744 is a wasteful number, since it uses less digits than its factorization.

828831376744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11008 (or 10990 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 61.

The spelling of 828831376744 in words is "eight hundred twenty-eight billion, eight hundred thirty-one million, three hundred seventy-six thousand, seven hundred forty-four".