829508328 has 96 divisors (see below), whose sum is σ = 2517147360. Its totient is φ = 244563840.

The previous prime is 829508321. The next prime is 829508333. The reversal of 829508328 is 823805928.

It is not an unprimeable number, because it can be changed into a prime (829508321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15151 + ... + 43457.

It is an arithmetic number, because the mean of its divisors is an integer number (26220285).

Almost surely, 2^829508328 is an apocalyptic number.

829508328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829508328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258573680).

829508328 is an abundant number, since it is smaller than the sum of its proper divisors (1687639032).

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

829508328 is a wasteful number, since it uses less digits than its factorization.

829508328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28367 (or 28360 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 829508328 is about 28801.1862255706. The cubic root of 829508328 is about 939.5940332373.

The spelling of 829508328 in words is "eight hundred twenty-nine million, five hundred eight thousand, three hundred twenty-eight".