828089856000 has 1872 divisors, whose sum is σ = 3562934809824. Its totient is φ = 182845440000.

The previous prime is 828089855993. The next prime is 828089856043. The reversal of 828089856000 is 658980828.

828089856000 is a `hidden beast` number, since 8 + 28 + 0 + 8 + 9 + 8 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×828089856000² (a number of 25 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26712575985 + ... + 26712576015.

It is an arithmetic number, because the mean of its divisors is an integer number (1903277142).

Almost surely, 2^828089856000 is an apocalyptic number.

828089856000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828089856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781467404912).

828089856000 is an abundant number, since it is smaller than the sum of its proper divisors (2734844953824).

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

828089856000 is a wasteful number, since it uses less digits than its factorization.

828089856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 828089856000 in words is "eight hundred twenty-eight billion, eighty-nine million, eight hundred fifty-six thousand".