27228960 has 240 divisors, whose sum is σ = 105380352. Its totient is φ = 6566400.

The previous prime is 27228959. The next prime is 27228979. The reversal of 27228960 is 6982272.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142465 + ... + 142655.

Almost surely, 2^27228960 is an apocalyptic number.

27228960 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 27228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

27228960 is an abundant number, since it is smaller than the sum of its proper divisors (78151392).

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

27228960 is a wasteful number, since it uses less digits than its factorization.

27228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27228960 is about 5218.1375987990. The cubic root of 27228960 is about 300.8456142158.

The spelling of 27228960 in words is "twenty-seven million, two hundred twenty-eight thousand, nine hundred sixty".