198214128 has 120 divisors (see below), whose sum is σ = 657541248. Its totient is φ = 56624832.

The previous prime is 198214103. The next prime is 198214129. The reversal of 198214128 is 821412891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 198214092 and 198214101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198214129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23575 + ... + 30857.

Almost surely, 2^198214128 is an apocalyptic number.

198214128 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 198214128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328770624).

198214128 is an abundant number, since it is smaller than the sum of its proper divisors (459327120).

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

198214128 is an equidigital number, since it uses as much as digits as its factorization.

198214128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7295 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 198214128 is about 14078.8539306294. The cubic root of 198214128 is about 583.0577003834.

It can be divided in two parts, 1982 and 14128, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 198214128 in words is "one hundred ninety-eight million, two hundred fourteen thousand, one hundred twenty-eight".