193328 has 20 divisors (see below), whose sum is σ = 384648. Its totient is φ = 94080.

The previous prime is 193327. The next prime is 193337. The reversal of 193328 is 823391.

193328 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 193297 and 193306.

It is not an unprimeable number, because it can be changed into a prime (193327) 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, 548 + ... + 828.

2¹⁹³³²⁸ is an apocalyptic number.

It is an amenable number.

193328 is a deficient number, since it is larger than the sum of its proper divisors (191320).

193328 is a wasteful number, since it uses less digits than its factorization.

193328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 193328 is about 439.6908004496. The cubic root of 193328 is about 57.8226847895.

The spelling of 193328 in words is "one hundred ninety-three thousand, three hundred twenty-eight".