828179712 has 108 divisors (see below), whose sum is σ = 2409734964. Its totient is φ = 273530880.

The previous prime is 828179707. The next prime is 828179719. The reversal of 828179712 is 217971828.

It can be written as a sum of positive squares in 2 ways, for example, as 34292736 + 793886976 = 5856^2 + 28176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828179719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258762 + ... + 261942.

Almost surely, 2^828179712 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 828179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204867482).

828179712 is an abundant number, since it is smaller than the sum of its proper divisors (1581555252).

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

828179712 is a wasteful number, since it uses less digits than its factorization.

828179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3299 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 828179712 is about 28778.1116823186. Note that the first 3 decimals coincide. The cubic root of 828179712 is about 939.0921187445.

It can be divided in two parts, 82817 and 9712, that added together give a palindrome (92529).

The spelling of 828179712 in words is "eight hundred twenty-eight million, one hundred seventy-nine thousand, seven hundred twelve".