27981352 has 48 divisors (see below), whose sum is σ = 62555220. Its totient is φ = 11692800.

The previous prime is 27981301. The next prime is 27981353. The reversal of 27981352 is 25318972.

It can be written as a sum of positive squares in 2 ways, for example, as 17522596 + 10458756 = 4186^2 + 3234^2 .

It is not an unprimeable number, because it can be changed into a prime (27981353) 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 11 ways as a sum of consecutive naturals, for example, 15202 + ... + 16942.

Almost surely, 2^27981352 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 27981352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31277610).

27981352 is an abundant number, since it is smaller than the sum of its proper divisors (34573868).

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

27981352 is a wasteful number, since it uses less digits than its factorization.

27981352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1791 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 27981352 is about 5289.7402582736. The cubic root of 27981352 is about 303.5914699413.

The spelling of 27981352 in words is "twenty-seven million, nine hundred eighty-one thousand, three hundred fifty-two".