27993648 has 40 divisors (see below), whose sum is σ = 72509248. Its totient is φ = 9306432.

The previous prime is 27993643. The next prime is 27993677. The reversal of 27993648 is 84639972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 27993597 and 27993606.

It is not an unprimeable number, because it can be changed into a prime (27993643) 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 7 ways as a sum of consecutive naturals, for example, 30411 + ... + 31317.

Almost surely, 2^27993648 is an apocalyptic number.

It is an amenable number.

27993648 is an abundant number, since it is smaller than the sum of its proper divisors (44515600).

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

27993648 is a wasteful number, since it uses less digits than its factorization.

27993648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1555 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 27993648 is about 5290.9023805018. The cubic root of 27993648 is about 303.6359330543.

The spelling of 27993648 in words is "twenty-seven million, nine hundred ninety-three thousand, six hundred forty-eight".