27781632 has 60 divisors (see below), whose sum is σ = 80192970. Its totient is φ = 9259008.

The previous prime is 27781613. The next prime is 27781639. The reversal of 27781632 is 23618772.

It can be written as a sum of positive squares in only one way, i.e., 17438976 + 10342656 = 4176^2 + 3216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27781639) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1594 + ... + 7622.

Almost surely, 2^27781632 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 27781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40096485).

27781632 is an abundant number, since it is smaller than the sum of its proper divisors (52411338).

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

27781632 is an equidigital number, since it uses as much as digits as its factorization.

27781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6034 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27781632 is about 5270.8283978897. The cubic root of 27781632 is about 302.8674386640.

The spelling of 27781632 in words is "twenty-seven million, seven hundred eighty-one thousand, six hundred thirty-two".