828113112 has 128 divisors (see below), whose sum is σ = 2459160000. Its totient is φ = 257292288.

The previous prime is 828113107. The next prime is 828113123. The reversal of 828113112 is 211311828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399214 + ... + 401282.

Almost surely, 2^828113112 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 828113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229580000).

828113112 is an abundant number, since it is smaller than the sum of its proper divisors (1631046888).

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

828113112 is a wasteful number, since it uses less digits than its factorization.

828113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2200 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 828113112 is about 28776.9545296232. The cubic root of 828113112 is about 939.0669449765.

The spelling of 828113112 in words is "eight hundred twenty-eight million, one hundred thirteen thousand, one hundred twelve".