36728208102833 has 16 divisors (see below), whose sum is σ = 40839070551552. Its totient is φ = 32801524560000.

The previous prime is 36728208102731. The next prime is 36728208102853. The reversal of 36728208102833 is 33820180282763.

36728208102833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36728208102833 - 2¹² = 36728208098737 is a prime.

It is a super-2 number, since 2×36728208102833² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36728208102853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9124268 + ... + 12518333.

It is an arithmetic number, because the mean of its divisors is an integer number (2552441909472).

Almost surely, 2^{36728208102833} is an apocalyptic number.

It is an amenable number.

36728208102833 is a deficient number, since it is larger than the sum of its proper divisors (4110862448719).

36728208102833 is a wasteful number, since it uses less digits than its factorization.

36728208102833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21646856.

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 36728208102833 in words is "thirty-six trillion, seven hundred twenty-eight billion, two hundred eight million, one hundred two thousand, eight hundred thirty-three".