27958401 has 12 divisors (see below), whose sum is σ = 41147028. Its totient is φ = 18286944.

The previous prime is 27958361. The next prime is 27958417. The reversal of 27958401 is 10485972.

27958401 is a `hidden beast` number, since 2 + 79 + 584 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 2556801 = 5040^2 + 1599^2 .

It is not a de Polignac number, because 27958401 - 2¹⁷ = 27827329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27958201) by changing a digit.

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, 28830 + ... + 29783.

It is an arithmetic number, because the mean of its divisors is an integer number (3428919).

Almost surely, 2^27958401 is an apocalyptic number.

It is an amenable number.

27958401 is a deficient number, since it is larger than the sum of its proper divisors (13188627).

27958401 is a wasteful number, since it uses less digits than its factorization.

27958401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58672 (or 58669 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 27958401 is about 5287.5704250629. The cubic root of 27958401 is about 303.5084428151.

The spelling of 27958401 in words is "twenty-seven million, nine hundred fifty-eight thousand, four hundred one".