27628340224635 has 24 divisors (see below), whose sum is σ = 47889438599184. Its totient is φ = 14735017696320.

The previous prime is 27628340224613. The next prime is 27628340224637. The reversal of 27628340224635 is 53642204382672.

27628340224635 is a `hidden beast` number, since 2 + 7 + 6 + 28 + 340 + 2 + 246 + 35 = 666.

It is not a de Polignac number, because 27628340224635 - 2¹⁰ = 27628340223611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27628340224637) 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 23 ways as a sum of consecutive naturals, for example, 5163240 + ... + 9050730.

It is an arithmetic number, because the mean of its divisors is an integer number (1995393274966).

Almost surely, 2^{27628340224635} is an apocalyptic number.

27628340224635 is a deficient number, since it is larger than the sum of its proper divisors (20261098374549).

27628340224635 is a wasteful number, since it uses less digits than its factorization.

27628340224635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045435 (or 4045432 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 27628340224635 in words is "twenty-seven trillion, six hundred twenty-eight billion, three hundred forty million, two hundred twenty-four thousand, six hundred thirty-five".