27548 is a member of OEIS A257105: composite numbers n such that n'=(n+8)', where n' is the arithmetic derivative of n, here 28220. The sequence can be generated using the following algorithm:

INPUT

x=27548

L=[]

gap=8

for number in [1..40000]:

  if is_prime(number)==0:

    sum1=0

    F=list(factor(number))

    for f in F:

    sum1+=f[1]/f[0]

    sum1=number * sum1

    sum2=0

    F=list(factor(number+gap))

    for f in F:

    sum2+=f[1]/f[0]

    sum2=(number+gap) * sum2

    if sum1==sum2:

      L.append(number)

      if number==x:

        print(x,sum1,sum2)

print(L)

OUTPUT

27548 28220 28220

[132, 476, 2108, 16748, 27548, 28676]

The algorithm is adjustable so that the gap need not be 8.

27548 is a hoax number since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

27548 is a congruent number because it is the area of a right-angled triangle with rational sides.

27548 is an untouchable number because it is not equal to the sum of proper divisors of any number.