27803232 has 72 divisors (see below), whose sum is σ = 83243160. Its totient is φ = 8778240.

The previous prime is 27803227. The next prime is 27803239. The reversal of 27803232 is 23230872.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 27803196 and 27803205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27803239) 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 11 ways as a sum of consecutive naturals, for example, 2932 + ... + 8012.

It is an arithmetic number, because the mean of its divisors is an integer number (1156155).

Almost surely, 2^27803232 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 27803232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41621580).

27803232 is an abundant number, since it is smaller than the sum of its proper divisors (55439928).

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

27803232 is a wasteful number, since it uses less digits than its factorization.

27803232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 27803232 is about 5272.8770135477. The cubic root of 27803232 is about 302.9459106796.

The spelling of 27803232 in words is "twenty-seven million, eight hundred three thousand, two hundred thirty-two".