27742350528 has 448 divisors, whose sum is σ = 88879680000. Its totient is φ = 8457965568.

The previous prime is 27742350499. The next prime is 27742350563. The reversal of 27742350528 is 82505324772.

27742350528 is a `hidden beast` number, since 2 + 7 + 74 + 2 + 3 + 50 + 528 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186190198 + ... + 186190346.

Almost surely, 2^27742350528 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 27742350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44439840000).

27742350528 is an abundant number, since it is smaller than the sum of its proper divisors (61137329472).

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

27742350528 is a wasteful number, since it uses less digits than its factorization.

27742350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 27742350528 in words is "twenty-seven billion, seven hundred forty-two million, three hundred fifty thousand, five hundred twenty-eight".