828740933160 has 256 divisors, whose sum is σ = 2888244172800. Its totient is φ = 186323438592.

The previous prime is 828740933129. The next prime is 828740933171. The reversal of 828740933160 is 61339047828.

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, 15939927 + ... + 15991833.

It is an arithmetic number, because the mean of its divisors is an integer number (11282203800).

Almost surely, 2^828740933160 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 828740933160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444122086400).

828740933160 is an abundant number, since it is smaller than the sum of its proper divisors (2059503239640).

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

828740933160 is a wasteful number, since it uses less digits than its factorization.

828740933160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52240 (or 52236 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 828740933160 in words is "eight hundred twenty-eight billion, seven hundred forty million, nine hundred thirty-three thousand, one hundred sixty".