27978048 has 168 divisors, whose sum is σ = 95414592. Its totient is φ = 7962624.

The previous prime is 27978043. The next prime is 27978091. The reversal of 27978048 is 84087972.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 27977994 and 27978012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27978043) 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 23 ways as a sum of consecutive naturals, for example, 108736 + ... + 108992.

It is an arithmetic number, because the mean of its divisors is an integer number (567944).

Almost surely, 2^27978048 is an apocalyptic number.

27978048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47707296).

27978048 is an abundant number, since it is smaller than the sum of its proper divisors (67436544).

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

27978048 is an equidigital number, since it uses as much as digits as its factorization.

27978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 27978048 is about 5289.4279463851. The cubic root of 27978048 is about 303.5795202483.

The spelling of 27978048 in words is "twenty-seven million, nine hundred seventy-eight thousand, forty-eight".