828187685676 has 384 divisors, whose sum is σ = 2422531399680. Its totient is φ = 242953344000.

The previous prime is 828187685639. The next prime is 828187685719. The reversal of 828187685676 is 676586781828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288005411 + ... + 1288006053.

It is an arithmetic number, because the mean of its divisors is an integer number (6308675520).

Almost surely, 2^828187685676 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 828187685676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211265699840).

828187685676 is an abundant number, since it is smaller than the sum of its proper divisors (1594343714004).

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

828187685676 is a wasteful number, since it uses less digits than its factorization.

828187685676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 828187685676 in words is "eight hundred twenty-eight billion, one hundred eighty-seven million, six hundred eighty-five thousand, six hundred seventy-six".