828643332 has 96 divisors (see below), whose sum is σ = 2201270400. Its totient is φ = 242309760.

The previous prime is 828643327. The next prime is 828643339. The reversal of 828643332 is 233346828.

It is not an unprimeable number, because it can be changed into a prime (828643339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462294 + ... + 464082.

It is an arithmetic number, because the mean of its divisors is an integer number (22929900).

Almost surely, 2^828643332 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 828643332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100635200).

828643332 is an abundant number, since it is smaller than the sum of its proper divisors (1372627068).

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

828643332 is a wasteful number, since it uses less digits than its factorization.

828643332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1834 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 828643332 is about 28786.1656355966. The cubic root of 828643332 is about 939.2673225334.

The spelling of 828643332 in words is "eight hundred twenty-eight million, six hundred forty-three thousand, three hundred thirty-two".