199247328 has 144 divisors (see below), whose sum is σ = 661096800. Its totient is φ = 56899584.

The previous prime is 199247317. The next prime is 199247329. The reversal of 199247328 is 823742991.

It is a tau number, because it is divible by the number of its divisors (144).

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 (199247329) 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, 97776 + ... + 99792.

It is an arithmetic number, because the mean of its divisors is an integer number (4590950).

Almost surely, 2^199247328 is an apocalyptic number.

199247328 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 199247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330548400).

199247328 is an abundant number, since it is smaller than the sum of its proper divisors (461849472).

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

199247328 is a wasteful number, since it uses less digits than its factorization.

199247328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2029 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 199247328 is about 14115.4995660798. The cubic root of 199247328 is about 584.0690166760.

The spelling of 199247328 in words is "one hundred ninety-nine million, two hundred forty-seven thousand, three hundred twenty-eight".