27768048 has 120 divisors (see below), whose sum is σ = 90244224. Its totient is φ = 7201920.

The previous prime is 27768043. The next prime is 27768113. The reversal of 27768048 is 84086772.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27768043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40315 + ... + 40997.

Almost surely, 2^27768048 is an apocalyptic number.

27768048 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 27768048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45122112).

27768048 is an abundant number, since it is smaller than the sum of its proper divisors (62476176).

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

27768048 is a wasteful number, since it uses less digits than its factorization.

27768048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 27768048 is about 5269.5396383365. The cubic root of 27768048 is about 302.8180676502.

The spelling of 27768048 in words is "twenty-seven million, seven hundred sixty-eight thousand, forty-eight".