27001728 has 128 divisors (see below), whose sum is σ = 85965600. Its totient is φ = 8294400.

The previous prime is 27001727. The next prime is 27001787. The reversal of 27001728 is 82710072.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27001727) 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, 44628 + ... + 45228.

Almost surely, 2^27001728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42982800).

27001728 is an abundant number, since it is smaller than the sum of its proper divisors (58963872).

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

27001728 is a wasteful number, since it uses less digits than its factorization.

27001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 27001728 is about 5196.3186969238. The cubic root of 27001728 is about 300.0063998635.

It can be divided in two parts, 2700 and 1728, that multiplied together give a square (4665600 = 2160²).

The spelling of 27001728 in words is "twenty-seven million, one thousand, seven hundred twenty-eight".