193928 has 16 divisors (see below), whose sum is σ = 415680. Its totient is φ = 83088.

The previous prime is 193891. The next prime is 193937. The reversal of 193928 is 829391.

193928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 193894 and 193903.

It is an unprimeable number.

193928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1676 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (25980).

2¹⁹³⁹²⁸ is an apocalyptic number.

It is an amenable number.

193928 is an abundant number, since it is smaller than the sum of its proper divisors (221752).

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

193928 is a wasteful number, since it uses less digits than its factorization.

193928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3472 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 193928 is about 440.3725695363. The cubic root of 193928 is about 57.8824412340.

The spelling of 193928 in words is "one hundred ninety-three thousand, nine hundred twenty-eight".