27842958 has 96 divisors (see below), whose sum is σ = 73513440. Its totient is φ = 7499520.

The previous prime is 27842953. The next prime is 27843043. The reversal of 27842958 is 85924872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27842953) 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 47 ways as a sum of consecutive naturals, for example, 74460 + ... + 74832.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^27842958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27842958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36756720).

27842958 is an abundant number, since it is smaller than the sum of its proper divisors (45670482).

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

27842958 is a wasteful number, since it uses less digits than its factorization.

27842958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 27842958 is about 5276.6426826155. The cubic root of 27842958 is about 303.0901277487.

The spelling of 27842958 in words is "twenty-seven million, eight hundred forty-two thousand, nine hundred fifty-eight".