27828883828917 has 8 divisors (see below), whose sum is σ = 41227976042880. Its totient is φ = 18552589219260.

The previous prime is 27828883828909. The next prime is 27828883828943. The reversal of 27828883828917 is 71982838882872.

27828883828917 is a `hidden beast` number, since 2 + 7 + 82 + 8 + 88 + 382 + 89 + 1 + 7 = 666.

It is not a de Polignac number, because 27828883828917 - 2³ = 27828883828909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27828883828717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515349700509 + ... + 515349700562.

It is an arithmetic number, because the mean of its divisors is an integer number (5153497005360).

Almost surely, 2^{27828883828917} is an apocalyptic number.

27828883828917 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

27828883828917 is a deficient number, since it is larger than the sum of its proper divisors (13399092213963).

27828883828917 is a wasteful number, since it uses less digits than its factorization.

27828883828917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030699401080 (or 1030699401074 counting only the distinct ones).

The product of its digits is 2774532096, while the sum is 81.

The spelling of 27828883828917 in words is "twenty-seven trillion, eight hundred twenty-eight billion, eight hundred eighty-three million, eight hundred twenty-eight thousand, nine hundred seventeen".