27145328 has 80 divisors (see below), whose sum is σ = 65085120. Its totient is φ = 10702848.

The previous prime is 27145303. The next prime is 27145331. The reversal of 27145328 is 82354172.

It is a junction number, because it is equal to n+sod(n) for n = 27145294 and 27145303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100778 + ... + 101046.

It is an arithmetic number, because the mean of its divisors is an integer number (813564).

Almost surely, 2^27145328 is an apocalyptic number.

27145328 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 27145328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32542560).

27145328 is an abundant number, since it is smaller than the sum of its proper divisors (37939792).

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

27145328 is a wasteful number, since it uses less digits than its factorization.

27145328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 27145328 is about 5210.1178489551. The cubic root of 27145328 is about 300.5372890124.

The spelling of 27145328 in words is "twenty-seven million, one hundred forty-five thousand, three hundred twenty-eight".