828426004252 has 384 divisors, whose sum is σ = 2002865356800. Its totient is φ = 296337888000.

The previous prime is 828426004223. The next prime is 828426004297. The reversal of 828426004252 is 252400624828.

It is a junction number, because it is equal to n+sod(n) for n = 828426004199 and 828426004208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1797019302 + ... + 1797019762.

It is an arithmetic number, because the mean of its divisors is an integer number (5215795200).

Almost surely, 2^828426004252 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 828426004252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001432678400).

828426004252 is an abundant number, since it is smaller than the sum of its proper divisors (1174439352548).

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

828426004252 is a wasteful number, since it uses less digits than its factorization.

828426004252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 828426004252 in words is "eight hundred twenty-eight billion, four hundred twenty-six million, four thousand, two hundred fifty-two".