198928 has 10 divisors (see below), whose sum is σ = 385454. Its totient is φ = 99456.

The previous prime is 198901. The next prime is 198929. The reversal of 198928 is 829891.

198928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 63504 = 368^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (198929) by changing a digit.

198928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6201 + ... + 6232.

2¹⁹⁸⁹²⁸ is an apocalyptic number.

It is an amenable number.

198928 is a deficient number, since it is larger than the sum of its proper divisors (186526).

198928 is a wasteful number, since it uses less digits than its factorization.

198928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12441 (or 12435 counting only the distinct ones).

The product of its digits is 10368, while the sum is 37.

The square root of 198928 is about 446.0134527119. The cubic root of 198928 is about 58.3756826262.

Subtracting from 198928 its sum of digits (37), we obtain a palindrome (198891).

It can be divided in two parts, 19892 and 8, that added together give a triangular number (19900 = T₁₉₉).

The spelling of 198928 in words is "one hundred ninety-eight thousand, nine hundred twenty-eight".