27429712128 has 288 divisors, whose sum is σ = 99835500800. Its totient is φ = 7234043904.

The previous prime is 27429712111. The next prime is 27429712133. The reversal of 27429712128 is 82121792472.

27429712128 is a `hidden beast` number, since 2 + 7 + 429 + 7 + 1 + 212 + 8 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 607188 + ... + 650796.

Almost surely, 2^27429712128 is an apocalyptic number.

27429712128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27429712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49917750400).

27429712128 is an abundant number, since it is smaller than the sum of its proper divisors (72405788672).

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

27429712128 is a wasteful number, since it uses less digits than its factorization.

27429712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43654 (or 43634 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 27429712128 in words is "twenty-seven billion, four hundred twenty-nine million, seven hundred twelve thousand, one hundred twenty-eight".