828852731368536 has 768 divisors, whose sum is σ = 2535347976192000. Its totient is φ = 224872892375040.

The previous prime is 828852731368471. The next prime is 828852731368547. The reversal of 828852731368536 is 635863137258828.

It is a congruent number.

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, 578403859276 + ... + 578403860708.

It is an arithmetic number, because the mean of its divisors is an integer number (3301234344000).

Almost surely, 2^{828852731368536} 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 828852731368536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267673988096000).

828852731368536 is an abundant number, since it is smaller than the sum of its proper divisors (1706495244823464).

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

828852731368536 is a wasteful number, since it uses less digits than its factorization.

828852731368536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2661 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 75.

The spelling of 828852731368536 in words is "eight hundred twenty-eight trillion, eight hundred fifty-two billion, seven hundred thirty-one million, three hundred sixty-eight thousand, five hundred thirty-six".