6013728 has 144 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 1617408.

The previous prime is 6013727. The next prime is 6013729. The reversal of 6013728 is 8273106.

6013728 is a `hidden beast` number, since 601 + 37 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (6013727) and next prime (6013729).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6013723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38226 + ... + 38382.

It is an arithmetic number, because the mean of its divisors is an integer number (143780).

Almost surely, 2^6013728 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 6013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352160).

6013728 is an abundant number, since it is smaller than the sum of its proper divisors (14690592).

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

6013728 is a wasteful number, since it uses less digits than its factorization.

6013728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6013728 is about 2452.2903580123. The cubic root of 6013728 is about 181.8505394532.

The spelling of 6013728 in words is "six million, thirteen thousand, seven hundred twenty-eight".