828112896 has 228 divisors, whose sum is σ = 2671766552. Its totient is φ = 254803968.

The previous prime is 828112867. The next prime is 828112897. The reversal of 828112896 is 698211828.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (110592) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828112897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63700986 + ... + 63700998.

Almost surely, 2^828112896 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 828112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335883276).

828112896 is an abundant number, since it is smaller than the sum of its proper divisors (1843653656).

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

828112896 is an frugal number, since it uses more digits than its factorization.

828112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 18 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 828112896 is about 28776.9507766198. The cubic root of 828112896 is about 939.0668633297.

The spelling of 828112896 in words is "eight hundred twenty-eight million, one hundred twelve thousand, eight hundred ninety-six".