828621967328 has 48 divisors (see below), whose sum is σ = 1669372830720. Its totient is φ = 404689332096.

The previous prime is 828621967321. The next prime is 828621967331. The reversal of 828621967328 is 823769126828.

It is a super-2 number, since 2×828621967328² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828621967321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208853 + ... + 1304171.

It is an arithmetic number, because the mean of its divisors is an integer number (34778600640).

Almost surely, 2^828621967328 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 828621967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834686415360).

828621967328 is an abundant number, since it is smaller than the sum of its proper divisors (840750863392).

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

828621967328 is a wasteful number, since it uses less digits than its factorization.

828621967328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095879 (or 1095871 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 62.

The spelling of 828621967328 in words is "eight hundred twenty-eight billion, six hundred twenty-one million, nine hundred sixty-seven thousand, three hundred twenty-eight".