828356166 has 32 divisors (see below), whose sum is σ = 2008137600. Its totient is φ = 251016840.

The previous prime is 828356147. The next prime is 828356173. The reversal of 828356166 is 661653828.

828356166 is a `hidden beast` number, since 8 + 2 + 83 + 561 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 696676 + ... + 697863.

It is an arithmetic number, because the mean of its divisors is an integer number (62754300).

Almost surely, 2^828356166 is an apocalyptic number.

828356166 is an abundant number, since it is smaller than the sum of its proper divisors (1179781434).

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

828356166 is a wasteful number, since it uses less digits than its factorization.

828356166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394561 (or 1394555 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 828356166 is about 28781.1772865531. The cubic root of 828356166 is about 939.1588090981.

The spelling of 828356166 in words is "eight hundred twenty-eight million, three hundred fifty-six thousand, one hundred sixty-six".