829928616 has 128 divisors (see below), whose sum is σ = 2311372800. Its totient is φ = 246240000.

The previous prime is 829928581. The next prime is 829928647. The reversal of 829928616 is 616829928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4345081 + ... + 4345271.

It is an arithmetic number, because the mean of its divisors is an integer number (18057600).

Almost surely, 2^829928616 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 829928616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155686400).

829928616 is an abundant number, since it is smaller than the sum of its proper divisors (1481444184).

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

829928616 is a wasteful number, since it uses less digits than its factorization.

829928616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 829928616 is about 28808.4816677311. The cubic root of 829928616 is about 939.7526948636.

The spelling of 829928616 in words is "eight hundred twenty-nine million, nine hundred twenty-eight thousand, six hundred sixteen".