828515515828 has 144 divisors (see below), whose sum is σ = 2009314766592. Its totient is φ = 290699481600.

The previous prime is 828515515823. The next prime is 828515515837.

828515515828 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828515515823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576401 + ... + 2035207.

It is an arithmetic number, because the mean of its divisors is an integer number (13953574768).

Almost surely, 2^828515515828 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 828515515828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004657383296).

828515515828 is an abundant number, since it is smaller than the sum of its proper divisors (1180799250764).

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

828515515828 is a wasteful number, since it uses less digits than its factorization.

828515515828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458894 (or 458881 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 58.

The spelling of 828515515828 in words is "eight hundred twenty-eight billion, five hundred fifteen million, five hundred fifteen thousand, eight hundred twenty-eight".