198528 has 64 divisors (see below), whose sum is σ = 587520. Its totient is φ = 58880.

The previous prime is 198503. The next prime is 198529. The reversal of 198528 is 825891.

It is a happy number.

198528 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198529) by changing a digit.

198528 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 7 ways as a sum of consecutive naturals, for example, 4201 + ... + 4247.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2¹⁹⁸⁵²⁸ 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 198528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

198528 is an abundant number, since it is smaller than the sum of its proper divisors (388992).

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

198528 is a wasteful number, since it uses less digits than its factorization.

198528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 198528 is about 445.5648101006. The cubic root of 198528 is about 58.3365295301.

The spelling of 198528 in words is "one hundred ninety-eight thousand, five hundred twenty-eight".