199448928 has 288 divisors, whose sum is σ = 704471040. Its totient is φ = 52254720.

The previous prime is 199448927. The next prime is 199448929. The reversal of 199448928 is 829844991.

199448928 is a `hidden beast` number, since 199 + 448 + 9 + 2 + 8 = 666.

199448928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199448927) and next prime (199448929).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199448923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1570401 + ... + 1570527.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^199448928 is an apocalyptic number.

199448928 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 199448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

199448928 is an abundant number, since it is smaller than the sum of its proper divisors (505022112).

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

199448928 is a wasteful number, since it uses less digits than its factorization.

199448928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 199448928 is about 14122.6388469011. The cubic root of 199448928 is about 584.2659388035.

The spelling of 199448928 in words is "one hundred ninety-nine million, four hundred forty-eight thousand, nine hundred twenty-eight".