828021850656 has 384 divisors, whose sum is σ = 2935270711296. Its totient is φ = 197375201280.

The previous prime is 828021850637. The next prime is 828021850673. The reversal of 828021850656 is 656058120828.

It is a junction number, because it is equal to n+sod(n) for n = 828021850599 and 828021850608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16599705 + ... + 16649511.

It is an arithmetic number, because the mean of its divisors is an integer number (7643934144).

Almost surely, 2^828021850656 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 828021850656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467635355648).

828021850656 is an abundant number, since it is smaller than the sum of its proper divisors (2107248860640).

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

828021850656 is a wasteful number, since it uses less digits than its factorization.

828021850656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50024 (or 50016 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 828021850656 in words is "eight hundred twenty-eight billion, twenty-one million, eight hundred fifty thousand, six hundred fifty-six".