829232382 has 128 divisors (see below), whose sum is σ = 1950220800. Its totient is φ = 232727040.

The previous prime is 829232323. The next prime is 829232387. The reversal of 829232382 is 283232928.

It is a self number, because there is not a number n which added to its sum of digits gives 829232382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829232387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5565244 + ... + 5565392.

It is an arithmetic number, because the mean of its divisors is an integer number (15236100).

Almost surely, 2^829232382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829232382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975110400).

829232382 is an abundant number, since it is smaller than the sum of its proper divisors (1120988418).

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

829232382 is a wasteful number, since it uses less digits than its factorization.

829232382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its digits is 82944, while the sum is 39.

The square root of 829232382 is about 28796.3952952449. The cubic root of 829232382 is about 939.4898325672.

The spelling of 829232382 in words is "eight hundred twenty-nine million, two hundred thirty-two thousand, three hundred eighty-two".