193728 has 28 divisors (see below), whose sum is σ = 513080. Its totient is φ = 64512.

The previous prime is 193727. The next prime is 193741. The reversal of 193728 is 827391.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 193695 and 193704.

It is not an unprimeable number, because it can be changed into a prime (193723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 313 + ... + 696.

2¹⁹³⁷²⁸ is an apocalyptic number.

It is an amenable number.

193728 is an abundant number, since it is smaller than the sum of its proper divisors (319352).

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

193728 is a wasteful number, since it uses less digits than its factorization.

193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 193728 is about 440.1454305113. The cubic root of 193728 is about 57.8625361315.

The spelling of 193728 in words is "one hundred ninety-three thousand, seven hundred twenty-eight".