828272337872 has 80 divisors (see below), whose sum is σ = 1893688320000. Its totient is φ = 343433381760.

The previous prime is 828272337863. The next prime is 828272337883. The reversal of 828272337872 is 278733272828.

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 15 ways as a sum of consecutive naturals, for example, 14202629 + ... + 14260827.

It is an arithmetic number, because the mean of its divisors is an integer number (23671104000).

Almost surely, 2^828272337872 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 828272337872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946844160000).

828272337872 is an abundant number, since it is smaller than the sum of its proper divisors (1065415982128).

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

828272337872 is a wasteful number, since it uses less digits than its factorization.

828272337872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62344 (or 62338 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 59.

The spelling of 828272337872 in words is "eight hundred twenty-eight billion, two hundred seventy-two million, three hundred thirty-seven thousand, eight hundred seventy-two".