27864750348 has 72 divisors (see below), whose sum is σ = 70753658976. Its totient is φ = 9246432000.

The previous prime is 27864750259. The next prime is 27864750349. The reversal of 27864750348 is 84305746872.

27864750348 is a `hidden beast` number, since 2 + 78 + 64 + 7 + 503 + 4 + 8 = 666.

It is a super-2 number, since 2×27864750348² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27864750294 and 27864750303.

It is not an unprimeable number, because it can be changed into a prime (27864750349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14565040 + ... + 14566952.

It is an arithmetic number, because the mean of its divisors is an integer number (982689708).

Almost surely, 2^27864750348 is an apocalyptic number.

It is an amenable number.

27864750348 is an abundant number, since it is smaller than the sum of its proper divisors (42888908628).

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

27864750348 is a wasteful number, since it uses less digits than its factorization.

27864750348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 27864750348 in words is "twenty-seven billion, eight hundred sixty-four million, seven hundred fifty thousand, three hundred forty-eight".