198268128 has 192 divisors, whose sum is σ = 615988800. Its totient is φ = 61931520.

The previous prime is 198268121. The next prime is 198268153. The reversal of 198268128 is 821862891.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198268121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027200 + ... + 1027392.

It is an arithmetic number, because the mean of its divisors is an integer number (3208275).

Almost surely, 2^198268128 is an apocalyptic number.

198268128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307994400).

198268128 is an abundant number, since it is smaller than the sum of its proper divisors (417720672).

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

198268128 is a wasteful number, since it uses less digits than its factorization.

198268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 198268128 is about 14080.7715697685. The cubic root of 198268128 is about 583.1106435605.

The spelling of 198268128 in words is "one hundred ninety-eight million, two hundred sixty-eight thousand, one hundred twenty-eight".