19728200 has 24 divisors (see below), whose sum is σ = 45868530. Its totient is φ = 7891200.

The previous prime is 19728197. The next prime is 19728209. The reversal of 19728200 is 282791.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15476356 + 4251844 = 3934^2 + 2062^2 .

It is not an unprimeable number, because it can be changed into a prime (19728209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49121 + ... + 49520.

Almost surely, 2^19728200 is an apocalyptic number.

19728200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19728200 is an abundant number, since it is smaller than the sum of its proper divisors (26140330).

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

19728200 is a wasteful number, since it uses less digits than its factorization.

19728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98657 (or 98648 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 19728200 is about 4441.6438398413. The cubic root of 19728200 is about 270.2065178098.

The spelling of 19728200 in words is "nineteen million, seven hundred twenty-eight thousand, two hundred".