19728544 has 48 divisors (see below), whose sum is σ = 43436736. Its totient is φ = 8742400.

The previous prime is 19728523. The next prime is 19728547. The reversal of 19728544 is 44582791.

It is a junction number, because it is equal to n+sod(n) for n = 19728497 and 19728506.

It is not an unprimeable number, because it can be changed into a prime (19728547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13749 + ... + 15115.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^19728544 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 19728544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

19728544 is an abundant number, since it is smaller than the sum of its proper divisors (23708192).

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

19728544 is a wasteful number, since it uses less digits than its factorization.

19728544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 19728544 is about 4441.6825640741. The cubic root of 19728544 is about 270.2080883282.

The spelling of 19728544 in words is "nineteen million, seven hundred twenty-eight thousand, five hundred forty-four".