27528672 has 48 divisors (see below), whose sum is σ = 72817920. Its totient is φ = 9105792.

The previous prime is 27528623. The next prime is 27528673. The reversal of 27528672 is 27682572.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27528672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27528673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12313 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 2^27528672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36408960).

27528672 is an abundant number, since it is smaller than the sum of its proper divisors (45289248).

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

27528672 is a wasteful number, since it uses less digits than its factorization.

27528672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2207 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 27528672 is about 5246.7772965888. Note that the first 3 decimals coincide. The cubic root of 27528672 is about 301.9454018808.

The spelling of 27528672 in words is "twenty-seven million, five hundred twenty-eight thousand, six hundred seventy-two".