10085042028 has 24 divisors (see below), whose sum is σ = 23550141888. Its totient is φ = 3359055376.

The previous prime is 10085042027. The next prime is 10085042063. The reversal of 10085042028 is 82024058001.

10085042028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10085041986 and 10085042004.

It is not an unprimeable number, because it can be changed into a prime (10085042021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 312126 + ... + 342917.

It is an arithmetic number, because the mean of its divisors is an integer number (981255912).

Almost surely, 2^10085042028 is an apocalyptic number.

It is an amenable number.

10085042028 is an abundant number, since it is smaller than the sum of its proper divisors (13465099860).

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

10085042028 is a wasteful number, since it uses less digits than its factorization.

10085042028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656333 (or 656331 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 10085042028 in words is "ten billion, eighty-five million, forty-two thousand, twenty-eight".