196928 has 28 divisors (see below), whose sum is σ = 416052. Its totient is φ = 92160.

The previous prime is 196927. The next prime is 196961. The reversal of 196928 is 829691.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 135424 = 248^2 + 368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196927) 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, 998 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2¹⁹⁶⁹²⁸ 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 196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208026).

196928 is an abundant number, since it is smaller than the sum of its proper divisors (219124).

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

196928 is a wasteful number, since it uses less digits than its factorization.

196928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 196928 is about 443.7657039475. The cubic root of 196928 is about 58.1793891031.

The spelling of 196928 in words is "one hundred ninety-six thousand, nine hundred twenty-eight".