27965466 has 32 divisors (see below), whose sum is σ = 62709120. Its totient is φ = 9237312.

The previous prime is 27965449. The next prime is 27965467. The reversal of 27965466 is 66456972.

It is not an unprimeable number, because it can be changed into a prime (27965467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3811 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (1959660).

Almost surely, 2^27965466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27965466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31354560).

27965466 is an abundant number, since it is smaller than the sum of its proper divisors (34743654).

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

27965466 is a wasteful number, since it uses less digits than its factorization.

27965466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4701 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 27965466 is about 5288.2384590712. The cubic root of 27965466 is about 303.5340058717.

The spelling of 27965466 in words is "twenty-seven million, nine hundred sixty-five thousand, four hundred sixty-six".