6828370600 has 24 divisors (see below), whose sum is σ = 15875962110. Its totient is φ = 2731348160.

The previous prime is 6828370573. The next prime is 6828370639. The reversal of 6828370600 is 60738286.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3740790244 + 3087580356 = 61162^2 + 55566^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 5 ways as a sum of consecutive naturals, for example, 17070727 + ... + 17071126.

Almost surely, 2^6828370600 is an apocalyptic number.

It is an amenable number.

6828370600 is an abundant number, since it is smaller than the sum of its proper divisors (9047591510).

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

6828370600 is a wasteful number, since it uses less digits than its factorization.

6828370600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34141869 (or 34141860 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 6828370600 is about 82633.9554904641. The cubic root of 6828370600 is about 1897.1675802302.

The spelling of 6828370600 in words is "six billion, eight hundred twenty-eight million, three hundred seventy thousand, six hundred".