27794665728 has 144 divisors (see below), whose sum is σ = 82425199360. Its totient is φ = 9238800384.

The previous prime is 27794665727. The next prime is 27794665777. The reversal of 27794665728 is 82756649772.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27794665727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531226 + ... + 2542182.

Almost surely, 2^27794665728 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 27794665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212599680).

27794665728 is an abundant number, since it is smaller than the sum of its proper divisors (54630533632).

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

27794665728 is a wasteful number, since it uses less digits than its factorization.

27794665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349 (or 11329 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 27794665728 in words is "twenty-seven billion, seven hundred ninety-four million, six hundred sixty-five thousand, seven hundred twenty-eight".