27916434 has 192 divisors, whose sum is σ = 84326400. Its totient is φ = 6671808.

The previous prime is 27916433. The next prime is 27916451. The reversal of 27916434 is 43461972.

27916434 is a `hidden beast` number, since 2 + 7 + 9 + 1 + 643 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27916433) 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 95 ways as a sum of consecutive naturals, for example, 1213747 + ... + 1213769.

It is an arithmetic number, because the mean of its divisors is an integer number (439200).

Almost surely, 2^27916434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27916434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42163200).

27916434 is an abundant number, since it is smaller than the sum of its proper divisors (56409966).

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

27916434 is a wasteful number, since it uses less digits than its factorization.

27916434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

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

The square root of 27916434 is about 5283.6004769475. The cubic root of 27916434 is about 303.3565061662.

The spelling of 27916434 in words is "twenty-seven million, nine hundred sixteen thousand, four hundred thirty-four".