27882114948 has 96 divisors (see below), whose sum is σ = 73151966720. Its totient is φ = 9183144960.

The previous prime is 27882114947. The next prime is 27882114971. The reversal of 27882114948 is 84941128872.

27882114948 is a `hidden beast` number, since 2 + 78 + 82 + 1 + 1 + 494 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27882114894 and 27882114903.

It is not an unprimeable number, because it can be changed into a prime (27882114947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7677093 + ... + 7680723.

Almost surely, 2^27882114948 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 27882114948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36575983360).

27882114948 is an abundant number, since it is smaller than the sum of its proper divisors (45269851772).

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

27882114948 is a wasteful number, since it uses less digits than its factorization.

27882114948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4466 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 27882114948 in words is "twenty-seven billion, eight hundred eighty-two million, one hundred fourteen thousand, nine hundred forty-eight".