828372096 has 160 divisors (see below), whose sum is σ = 2491232700. Its totient is φ = 273217536.

The previous prime is 828372067. The next prime is 828372109. The reversal of 828372096 is 690273828.

828372096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 690638400 + 137733696 = 26280^2 + 11736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1129746 + ... + 1130478.

Almost surely, 2^828372096 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 828372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245616350).

828372096 is an abundant number, since it is smaller than the sum of its proper divisors (1662860604).

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

828372096 is a wasteful number, since it uses less digits than its factorization.

828372096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 828372096 is about 28781.4540285928. The cubic root of 828372096 is about 939.1648293361.

The spelling of 828372096 in words is "eight hundred twenty-eight million, three hundred seventy-two thousand, ninety-six".