27308121728 has 64 divisors (see below), whose sum is σ = 55926028800. Its totient is φ = 13272486912.

The previous prime is 27308121721. The next prime is 27308121779. The reversal of 27308121728 is 82712180372.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×27308121728² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27308121721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6813101 + ... + 6817107.

It is an arithmetic number, because the mean of its divisors is an integer number (873844200).

Almost surely, 2^27308121728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27308121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27963014400).

27308121728 is an abundant number, since it is smaller than the sum of its proper divisors (28617907072).

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

27308121728 is a wasteful number, since it uses less digits than its factorization.

27308121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 27308121728 in words is "twenty-seven billion, three hundred eight million, one hundred twenty-one thousand, seven hundred twenty-eight".