27345528 has 144 divisors (see below), whose sum is σ = 90164880. Its totient is φ = 7451136.

The previous prime is 27345511. The next prime is 27345529. The reversal of 27345528 is 82554372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27345492 and 27345501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27345529) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80976 + ... + 81312.

It is an arithmetic number, because the mean of its divisors is an integer number (626145).

Almost surely, 2^27345528 is an apocalyptic number.

27345528 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 27345528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45082440).

27345528 is an abundant number, since it is smaller than the sum of its proper divisors (62819352).

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

27345528 is a wasteful number, since it uses less digits than its factorization.

27345528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 27345528 is about 5229.2951723918. The cubic root of 27345528 is about 301.2743127592.

The spelling of 27345528 in words is "twenty-seven million, three hundred forty-five thousand, five hundred twenty-eight".