27382032 has 120 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 8596224.

The previous prime is 27382001. The next prime is 27382037. The reversal of 27382032 is 23028372.

It is a junction number, because it is equal to n+sod(n) for n = 27381987 and 27382005.

It is not an unprimeable number, because it can be changed into a prime (27382037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329863 + ... + 329945.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^27382032 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 27382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

27382032 is an abundant number, since it is smaller than the sum of its proper divisors (53862768).

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

27382032 is a wasteful number, since it uses less digits than its factorization.

27382032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

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

The square root of 27382032 is about 5232.7843448780. The cubic root of 27382032 is about 301.4083118474.

The spelling of 27382032 in words is "twenty-seven million, three hundred eighty-two thousand, thirty-two".