19128 has 16 divisors (see below), whose sum is σ = 47880. Its totient is φ = 6368.

The previous prime is 19121. The next prime is 19139. The reversal of 19128 is 82191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19121) by changing a digit.

19128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375 + ... + 422.

2¹⁹¹²⁸ is an apocalyptic number.

It is an amenable number.

19128 is an abundant number, since it is smaller than the sum of its proper divisors (28752).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940).

19128 is a wasteful number, since it uses less digits than its factorization.

19128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 19128 is about 138.3040129570. The cubic root of 19128 is about 26.7438044288.

The spelling of 19128 in words is "nineteen thousand, one hundred twenty-eight".