828097790828 has 96 divisors (see below), whose sum is σ = 1825490677248. Its totient is φ = 319293504000.

The previous prime is 828097790809. The next prime is 828097790893.

828097790828 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87190976 + ... + 87200472.

It is an arithmetic number, because the mean of its divisors is an integer number (19015527888).

Almost surely, 2^828097790828 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 828097790828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912745338624).

828097790828 is an abundant number, since it is smaller than the sum of its proper divisors (997392886420).

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

828097790828 is a wasteful number, since it uses less digits than its factorization.

828097790828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 68.

The spelling of 828097790828 in words is "eight hundred twenty-eight billion, ninety-seven million, seven hundred ninety thousand, eight hundred twenty-eight".