27748000 has 96 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 9504000.

The previous prime is 27747953. The next prime is 27748003. The reversal of 27748000 is 84772.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 27748000.

It is not an unprimeable number, because it can be changed into a prime (27748003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27505 + ... + 28495.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^27748000 is an apocalyptic number.

27748000 is a gapful number since it is divisible by the number (20) 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 27748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

27748000 is an abundant number, since it is smaller than the sum of its proper divisors (50247008).

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

27748000 is an equidigital number, since it uses as much as digits as its factorization.

27748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 27748000 is about 5267.6370414067. The cubic root of 27748000 is about 302.7451738187.

The spelling of 27748000 in words is "twenty-seven million, seven hundred forty-eight thousand".