27828590121 has 28 divisors (see below), whose sum is σ = 42431046960. Its totient is φ = 18237917880.

The previous prime is 27828590093. The next prime is 27828590191. The reversal of 27828590121 is 12109582872.

27828590121 is a `hidden beast` number, since 27 + 8 + 28 + 590 + 12 + 1 = 666.

It is not a de Polignac number, because 27828590121 - 2¹⁰ = 27828589097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27828590191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 280495 + ... + 366516.

Almost surely, 2^27828590121 is an apocalyptic number.

It is an amenable number.

27828590121 is a deficient number, since it is larger than the sum of its proper divisors (14602456839).

27828590121 is an frugal number, since it uses more digits than its factorization.

27828590121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647088 (or 647073 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 27828590121 in words is "twenty-seven billion, eight hundred twenty-eight million, five hundred ninety thousand, one hundred twenty-one".