199928144 has 80 divisors (see below), whose sum is σ = 441638400. Its totient is φ = 87145344.

The previous prime is 199928123. The next prime is 199928149. The reversal of 199928144 is 441829991.

199928144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199928149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2530697 + ... + 2530775.

It is an arithmetic number, because the mean of its divisors is an integer number (5520480).

Almost surely, 2^199928144 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 199928144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220819200).

199928144 is an abundant number, since it is smaller than the sum of its proper divisors (241710256).

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

199928144 is an equidigital number, since it uses as much as digits as its factorization.

199928144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 117 counting only the distinct ones).

The product of its digits is 186624, while the sum is 47.

The square root of 199928144 is about 14139.5949022594. The cubic root of 199928144 is about 584.7335031805.

The spelling of 199928144 in words is "one hundred ninety-nine million, nine hundred twenty-eight thousand, one hundred forty-four".