828813636 has 54 divisors (see below), whose sum is σ = 2437111950. Its totient is φ = 236803392.

The previous prime is 828813571. The next prime is 828813677. The reversal of 828813636 is 636318828.

828813636 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 1 + 3 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 733868100 + 94945536 = 27090^2 + 9744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 828813591 and 828813600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 233161 + ... + 236688.

Almost surely, 2^828813636 is an apocalyptic number.

It is an amenable number.

828813636 is an abundant number, since it is smaller than the sum of its proper divisors (1608298314).

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

828813636 is a wasteful number, since it uses less digits than its factorization.

828813636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469873 (or 469861 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 828813636 is about 28789.1235712378. The cubic root of 828813636 is about 939.3316646609.

The spelling of 828813636 in words is "eight hundred twenty-eight million, eight hundred thirteen thousand, six hundred thirty-six".