27938034 has 80 divisors (see below), whose sum is σ = 66211200. Its totient is φ = 8794656.

The previous prime is 27938033. The next prime is 27938039. The reversal of 27938034 is 43083972.

27938034 is a `hidden beast` number, since 279 + 380 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27938034.

It is not an unprimeable number, because it can be changed into a prime (27938033) 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 39 ways as a sum of consecutive naturals, for example, 353607 + ... + 353685.

It is an arithmetic number, because the mean of its divisors is an integer number (827640).

Almost surely, 2^27938034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27938034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33105600).

27938034 is an abundant number, since it is smaller than the sum of its proper divisors (38273166).

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

27938034 is a wasteful number, since it uses less digits than its factorization.

27938034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 27938034 is about 5285.6441423917. The cubic root of 27938034 is about 303.4347254603.

The spelling of 27938034 in words is "twenty-seven million, nine hundred thirty-eight thousand, thirty-four".