19728000 has 192 divisors, whose sum is σ = 71365320. Its totient is φ = 5222400.

The previous prime is 19727977. The next prime is 19728017. The reversal of 19728000 is 82791.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 13133376 = 2568^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143932 + ... + 144068.

Almost surely, 2^19728000 is an apocalyptic number.

19728000 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 19728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35682660).

19728000 is an abundant number, since it is smaller than the sum of its proper divisors (51637320).

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

19728000 is a wasteful number, since it uses less digits than its factorization.

19728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 19728000 is about 4441.6213255972. The cubic root of 19728000 is about 270.2056047094.

The spelling of 19728000 in words is "nineteen million, seven hundred twenty-eight thousand".