828077852 has 36 divisors (see below), whose sum is σ = 1687482720. Its totient is φ = 354521664.

The previous prime is 828077851. The next prime is 828077869. The reversal of 828077852 is 258770828.

It is a junction number, because it is equal to n+sod(n) for n = 828077797 and 828077806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828077851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277424 + ... + 280392.

It is an arithmetic number, because the mean of its divisors is an integer number (46874520).

Almost surely, 2^828077852 is an apocalyptic number.

It is an amenable number.

828077852 is an abundant number, since it is smaller than the sum of its proper divisors (859404868).

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

828077852 is a wasteful number, since it uses less digits than its factorization.

828077852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 47.

The square root of 828077852 is about 28776.3418800931. The cubic root of 828077852 is about 939.0536166965.

The spelling of 828077852 in words is "eight hundred twenty-eight million, seventy-seven thousand, eight hundred fifty-two".