27998289972 has 72 divisors (see below), whose sum is σ = 71241835392. Its totient is φ = 9271200000.

The previous prime is 27998289967. The next prime is 27998290013.

27998289972 is a `hidden beast` number, since 279 + 9 + 8 + 289 + 9 + 72 = 666.

27998289972 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27998289972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3619573 + ... + 3627299.

It is an arithmetic number, because the mean of its divisors is an integer number (989469936).

Almost surely, 2^27998289972 is an apocalyptic number.

It is an amenable number.

27998289972 is an abundant number, since it is smaller than the sum of its proper divisors (43243545420).

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

27998289972 is a wasteful number, since it uses less digits than its factorization.

27998289972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8384 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 72.

The spelling of 27998289972 in words is "twenty-seven billion, nine hundred ninety-eight million, two hundred eighty-nine thousand, nine hundred seventy-two".