27887828472 has 128 divisors (see below), whose sum is σ = 88574169600. Its totient is φ = 7964227584.

The previous prime is 27887828459. The next prime is 27887828503. The reversal of 27887828472 is 27482878872.

27887828472 is a `hidden beast` number, since 2 + 7 + 8 + 87 + 82 + 8 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

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, 5965528 + ... + 5970200.

It is an arithmetic number, because the mean of its divisors is an integer number (691985700).

Almost surely, 2^27887828472 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 27887828472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44287084800).

27887828472 is an abundant number, since it is smaller than the sum of its proper divisors (60686341128).

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

27887828472 is a wasteful number, since it uses less digits than its factorization.

27887828472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8632 counting only the distinct ones).

The product of its digits is 44957696, while the sum is 63.

The spelling of 27887828472 in words is "twenty-seven billion, eight hundred eighty-seven million, eight hundred twenty-eight thousand, four hundred seventy-two".