27628866 has 24 divisors (see below), whose sum is σ = 59970924. Its totient is φ = 9192960.

The previous prime is 27628813. The next prime is 27628873. The reversal of 27628866 is 66882672.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26780625 + 848241 = 5175^2 + 921^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12690 + ... + 14706.

Almost surely, 2^27628866 is an apocalyptic number.

27628866 is an abundant number, since it is smaller than the sum of its proper divisors (32342058).

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

27628866 is a wasteful number, since it uses less digits than its factorization.

27628866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2783 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 27628866 is about 5256.3167712763. The cubic root of 27628866 is about 302.3112808731.

It can be divided in two parts, 2762 and 8866, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 27628866 in words is "twenty-seven million, six hundred twenty-eight thousand, eight hundred sixty-six".