27328000 has 160 divisors (see below), whose sum is σ = 79155648. Its totient is φ = 9216000.

The previous prime is 27327997. The next prime is 27328001. The reversal of 27328000 is 82372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27328001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447970 + ... + 448030.

Almost surely, 2^27328000 is an apocalyptic number.

27328000 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 27328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39577824).

27328000 is an abundant number, since it is smaller than the sum of its proper divisors (51827648).

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

27328000 is an frugal number, since it uses more digits than its factorization.

27328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27328000 is about 5227.6189608655. The cubic root of 27328000 is about 301.2099284981.

The spelling of 27328000 in words is "twenty-seven million, three hundred twenty-eight thousand".