27028129968 has 120 divisors (see below), whose sum is σ = 86582815488. Its totient is φ = 7710201216.

The previous prime is 27028129957. The next prime is 27028130011. The reversal of 27028129968 is 86992182072.

27028129968 is a `hidden beast` number, since 2 + 70 + 281 + 299 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631455 + ... + 672897.

Almost surely, 2^27028129968 is an apocalyptic number.

27028129968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27028129968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43291407744).

27028129968 is an abundant number, since it is smaller than the sum of its proper divisors (59554685520).

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

27028129968 is a wasteful number, since it uses less digits than its factorization.

27028129968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42111 (or 42102 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 27028129968 in words is "twenty-seven billion, twenty-eight million, one hundred twenty-nine thousand, nine hundred sixty-eight".