19728600 has 96 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 5200000.

The previous prime is 19728571. The next prime is 19728601. The reversal of 19728600 is 682791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19728601) 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, 78475 + ... + 78725.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^19728600 is an apocalyptic number.

19728600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

19728600 is an abundant number, since it is smaller than the sum of its proper divisors (42142440).

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

19728600 is a wasteful number, since it uses less digits than its factorization.

19728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 19728600 is about 4441.6888679870. The cubic root of 19728600 is about 270.2083439923.

The spelling of 19728600 in words is "nineteen million, seven hundred twenty-eight thousand, six hundred".