829128916 has 72 divisors (see below), whose sum is σ = 1909486656. Its totient is φ = 305994240.

The previous prime is 829128907. The next prime is 829128917. The reversal of 829128916 is 619821928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829128917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 107460 + ... + 114916.

It is an arithmetic number, because the mean of its divisors is an integer number (26520648).

Almost surely, 2^829128916 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 829128916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954743328).

829128916 is an abundant number, since it is smaller than the sum of its proper divisors (1080357740).

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

829128916 is a wasteful number, since it uses less digits than its factorization.

829128916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7496 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The square root of 829128916 is about 28794.5987296229. The cubic root of 829128916 is about 939.4507565493.

The spelling of 829128916 in words is "eight hundred twenty-nine million, one hundred twenty-eight thousand, nine hundred sixteen".