27961232 has 40 divisors (see below), whose sum is σ = 58746240. Its totient is φ = 12816000.

The previous prime is 27961231. The next prime is 27961237. The reversal of 27961232 is 23216972.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27961231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36857 + ... + 37607.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 2^27961232 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 27961232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29373120).

27961232 is an abundant number, since it is smaller than the sum of its proper divisors (30785008).

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

27961232 is a wasteful number, since it uses less digits than its factorization.

27961232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 27961232 is about 5287.8381215767. The cubic root of 27961232 is about 303.5186866461.

The spelling of 27961232 in words is "twenty-seven million, nine hundred sixty-one thousand, two hundred thirty-two".