27922105728 has 1024 divisors, whose sum is σ = 103403520000. Its totient is φ = 7315660800.

The previous prime is 27922105721. The next prime is 27922105751. The reversal of 27922105728 is 82750122972.

27922105728 is a `hidden beast` number, since 2 + 79 + 2 + 2 + 1 + 0 + 572 + 8 = 666.

It is a super-3 number, since 3×27922105728³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27922105721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 649351275 + ... + 649351317.

It is an arithmetic number, because the mean of its divisors is an integer number (100980000).

Almost surely, 2^27922105728 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 27922105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51701760000).

27922105728 is an abundant number, since it is smaller than the sum of its proper divisors (75481414272).

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

27922105728 is a wasteful number, since it uses less digits than its factorization.

27922105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 27922105728 in words is "twenty-seven billion, nine hundred twenty-two million, one hundred five thousand, seven hundred twenty-eight".