197728 has 24 divisors (see below), whose sum is σ = 402192. Its totient is φ = 95616.

The previous prime is 197713. The next prime is 197741. The reversal of 197728 is 827791.

It is a Smith number, since the sum of its digits (34) 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 = 197693 and 197702.

It is a congruent number.

It is an unprimeable number.

197728 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 in 3 ways as a sum of consecutive naturals, for example, 1101 + ... + 1267.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2¹⁹⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

197728 is an abundant number, since it is smaller than the sum of its proper divisors (204464).

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

197728 is a wasteful number, since it uses less digits than its factorization.

197728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 197728 is about 444.6661669163. Note that the first 3 decimals coincide. The cubic root of 197728 is about 58.2580652810.

The spelling of 197728 in words is "one hundred ninety-seven thousand, seven hundred twenty-eight".