27642948 has 48 divisors (see below), whose sum is σ = 70103040. Its totient is φ = 8445600.

The previous prime is 27642931. The next prime is 27642971. The reversal of 27642948 is 84924672.

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 15 ways as a sum of consecutive naturals, for example, 5113 + ... + 9023.

It is an arithmetic number, because the mean of its divisors is an integer number (1460480).

Almost surely, 2^27642948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27642948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35051520).

27642948 is an abundant number, since it is smaller than the sum of its proper divisors (42460092).

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

27642948 is a wasteful number, since it uses less digits than its factorization.

27642948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3966 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 27642948 is about 5257.6561317758. The cubic root of 27642948 is about 302.3626332570.

The spelling of 27642948 in words is "twenty-seven million, six hundred forty-two thousand, nine hundred forty-eight".