829124928 has 84 divisors (see below), whose sum is σ = 2391387648. Its totient is φ = 274648320.

The previous prime is 829124921. The next prime is 829124929. The reversal of 829124928 is 829421928.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829124921) 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 11 ways as a sum of consecutive naturals, for example, 89473 + ... + 98303.

Almost surely, 2^829124928 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 829124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195693824).

829124928 is an abundant number, since it is smaller than the sum of its proper divisors (1562262720).

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

829124928 is a wasteful number, since it uses less digits than its factorization.

829124928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 8999 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 829124928 is about 28794.5294804412. The cubic root of 829124928 is about 939.4492503358.

The spelling of 829124928 in words is "eight hundred twenty-nine million, one hundred twenty-four thousand, nine hundred twenty-eight".