27972489632 has 48 divisors (see below), whose sum is σ = 57112662600. Its totient is φ = 13470105600.

The previous prime is 27972489631. The next prime is 27972489637. The reversal of 27972489632 is 23698427972.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27943802896 + 28686736 = 167164^2 + 5356^2 .

It is not an unprimeable number, because it can be changed into a prime (27972489631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334544 + ... + 409712.

Almost surely, 2^27972489632 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 27972489632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28556331300).

27972489632 is an abundant number, since it is smaller than the sum of its proper divisors (29140172968).

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

27972489632 is a wasteful number, since it uses less digits than its factorization.

27972489632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75609 (or 75601 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 59.

The spelling of 27972489632 in words is "twenty-seven billion, nine hundred seventy-two million, four hundred eighty-nine thousand, six hundred thirty-two".