828713107404 has 576 divisors, whose sum is σ = 2816959918080. Its totient is φ = 208574714880.

The previous prime is 828713107393. The next prime is 828713107427. The reversal of 828713107404 is 404701317828.

It is a self number, because there is not a number n which added to its sum of digits gives 828713107404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155682687 + ... + 155688009.

Almost surely, 2^828713107404 is an apocalyptic number.

828713107404 is a gapful number since it is divisible by the number (84) 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 828713107404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408479959040).

828713107404 is an abundant number, since it is smaller than the sum of its proper divisors (1988246810676).

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

828713107404 is a wasteful number, since it uses less digits than its factorization.

828713107404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 828713107404 in words is "eight hundred twenty-eight billion, seven hundred thirteen million, one hundred seven thousand, four hundred four".