27128287872 has 288 divisors, whose sum is σ = 91634860980. Its totient is φ = 7680540672.

The previous prime is 27128287867. The next prime is 27128287883. The reversal of 27128287872 is 27878282172.

It is a happy number.

27128287872 is a `hidden beast` number, since 271 + 28 + 287 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19584323136 + 7543964736 = 139944^2 + 86856^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27128287872² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6376498 + ... + 6380750.

Almost surely, 2^27128287872 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 27128287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45817430490).

27128287872 is an abundant number, since it is smaller than the sum of its proper divisors (64506573108).

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

27128287872 is a wasteful number, since it uses less digits than its factorization.

27128287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4378 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 54.

The spelling of 27128287872 in words is "twenty-seven billion, one hundred twenty-eight million, two hundred eighty-seven thousand, eight hundred seventy-two".