828351664 has 60 divisors (see below), whose sum is σ = 1965257400. Its totient is φ = 336317184.

The previous prime is 828351661. The next prime is 828351691. The reversal of 828351664 is 466153828.

828351664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 828351664.

It is not an unprimeable number, because it can be changed into a prime (828351661) 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, 12909 + ... + 42700.

It is an arithmetic number, because the mean of its divisors is an integer number (32754290).

Almost surely, 2^828351664 is an apocalyptic number.

It is an amenable number.

828351664 is an abundant number, since it is smaller than the sum of its proper divisors (1136905736).

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

828351664 is a wasteful number, since it uses less digits than its factorization.

828351664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55650 (or 55637 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 828351664 is about 28781.0990756086. The cubic root of 828351664 is about 939.1571076960.

The spelling of 828351664 in words is "eight hundred twenty-eight million, three hundred fifty-one thousand, six hundred sixty-four".