828536413056 has 128 divisors (see below), whose sum is σ = 2401437767040. Its totient is φ = 251012536320.

The previous prime is 828536413049. The next prime is 828536413057. The reversal of 828536413056 is 650314635828.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828536413057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19971471 + ... + 20012913.

It is an arithmetic number, because the mean of its divisors is an integer number (18761232555).

Almost surely, 2^828536413056 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 828536413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200718883520).

828536413056 is an abundant number, since it is smaller than the sum of its proper divisors (1572901353984).

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

828536413056 is a wasteful number, since it uses less digits than its factorization.

828536413056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46204 (or 46192 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 828536413056 in words is "eight hundred twenty-eight billion, five hundred thirty-six million, four hundred thirteen thousand, fifty-six".