828000832192 has 112 divisors (see below), whose sum is σ = 1780091009280. Its totient is φ = 380912716800.

The previous prime is 828000832159. The next prime is 828000832231. The reversal of 828000832192 is 291238000828.

It is a super-2 number, since 2×828000832192² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5712942 + ... + 5856082.

Almost surely, 2^828000832192 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 828000832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890045504640).

828000832192 is an abundant number, since it is smaller than the sum of its proper divisors (952090177088).

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

828000832192 is a wasteful number, since it uses less digits than its factorization.

828000832192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143310 (or 143300 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 828000832192 in words is "eight hundred twenty-eight billion, eight hundred thirty-two thousand, one hundred ninety-two".