27028807680 has 504 divisors, whose sum is σ = 102131228808. Its totient is φ = 6085804032.

The previous prime is 27028807609. The next prime is 27028807681. The reversal of 27028807680 is 8670882072.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27028807681) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 403415007 + ... + 403415073.

It is an arithmetic number, because the mean of its divisors is an integer number (202641327).

Almost surely, 2^27028807680 is an apocalyptic number.

27028807680 is a gapful number since it is divisible by the number (20) 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 27028807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51065614404).

27028807680 is an abundant number, since it is smaller than the sum of its proper divisors (75102421128).

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

27028807680 is an frugal number, since it uses more digits than its factorization.

27028807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 27028807680 in words is "twenty-seven billion, twenty-eight million, eight hundred seven thousand, six hundred eighty".