199888128 has 216 divisors, whose sum is σ = 652444800. Its totient is φ = 60318720.

The previous prime is 199888109. The next prime is 199888141. The reversal of 199888128 is 821888991.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836233 + ... + 836471.

Almost surely, 2^199888128 is an apocalyptic number.

199888128 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 199888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326222400).

199888128 is an abundant number, since it is smaller than the sum of its proper divisors (452556672).

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

199888128 is a wasteful number, since it uses less digits than its factorization.

199888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The square root of 199888128 is about 14138.1797979797. The cubic root of 199888128 is about 584.6944887348.

The spelling of 199888128 in words is "one hundred ninety-nine million, eight hundred eighty-eight thousand, one hundred twenty-eight".