27305628 has 48 divisors (see below), whose sum is σ = 73274880. Its totient is φ = 7752384.

The previous prime is 27305627. The next prime is 27305671. The reversal of 27305628 is 82650372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27305627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13593 + ... + 15471.

It is an arithmetic number, because the mean of its divisors is an integer number (1526560).

Almost surely, 2^27305628 is an apocalyptic number.

27305628 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 27305628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36637440).

27305628 is an abundant number, since it is smaller than the sum of its proper divisors (45969252).

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

27305628 is a wasteful number, since it uses less digits than its factorization.

27305628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 27305628 is about 5225.4787340492. The cubic root of 27305628 is about 301.1277111359.

The spelling of 27305628 in words is "twenty-seven million, three hundred five thousand, six hundred twenty-eight".