27928560 has 160 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 6630400.

The previous prime is 27928529. The next prime is 27928597. The reversal of 27928560 is 6582972.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187366 + ... + 187514.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^27928560 is an apocalyptic number.

27928560 is a gapful number since it is divisible by the number (20) 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 27928560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

27928560 is an abundant number, since it is smaller than the sum of its proper divisors (68493840).

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

27928560 is a wasteful number, since it uses less digits than its factorization.

27928560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 27928560 is about 5284.7478653196. The cubic root of 27928560 is about 303.4004225742.

The spelling of 27928560 in words is "twenty-seven million, nine hundred twenty-eight thousand, five hundred sixty".