828306064 has 40 divisors (see below), whose sum is σ = 1691360000. Its totient is φ = 391879296.

The previous prime is 828306047. The next prime is 828306077. The reversal of 828306064 is 460603828.

828306064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470017 + ... + 471775.

It is an arithmetic number, because the mean of its divisors is an integer number (42284000).

Almost surely, 2^828306064 is an apocalyptic number.

It is an amenable number.

828306064 is an abundant number, since it is smaller than the sum of its proper divisors (863053936).

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

828306064 is a wasteful number, since it uses less digits than its factorization.

828306064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 828306064 is about 28780.3068781415. The cubic root of 828306064 is about 939.1398741338.

The spelling of 828306064 in words is "eight hundred twenty-eight million, three hundred six thousand, sixty-four".