27148228128 has 486 divisors, whose sum is σ = 96098962869. Its totient is φ = 7247729664.

The previous prime is 27148228127. The next prime is 27148228231. The reversal of 27148228128 is 82182284172.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27148228128 is a `hidden beast` number, since 2 + 71 + 482 + 2 + 81 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27023414544 + 124813584 = 164388^2 + 11172^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=116508.

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

It is not an unprimeable number, because it can be changed into a prime (27148228123) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 371893500 + ... + 371893572.

Almost surely, 2^27148228128 is an apocalyptic number.

27148228128 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 27148228128

27148228128 is an abundant number, since it is smaller than the sum of its proper divisors (68950734741).

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

27148228128 is a wasteful number, since it uses less digits than its factorization.

27148228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The spelling of 27148228128 in words is "twenty-seven billion, one hundred forty-eight million, two hundred twenty-eight thousand, one hundred twenty-eight".