195805728 has 96 divisors (see below), whose sum is σ = 604739520. Its totient is φ = 61424640.

The previous prime is 195805721. The next prime is 195805787. The reversal of 195805728 is 827508591.

It is a happy number.

195805728 is a `hidden beast` number, since 19 + 580 + 57 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (195805721) 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, 8023 + ... + 21353.

It is an arithmetic number, because the mean of its divisors is an integer number (6299370).

Almost surely, 2^195805728 is an apocalyptic number.

195805728 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 195805728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302369760).

195805728 is an abundant number, since it is smaller than the sum of its proper divisors (408933792).

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

195805728 is a wasteful number, since it uses less digits than its factorization.

195805728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367 (or 13353 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 195805728 is about 13993.0599941542. The cubic root of 195805728 is about 580.6865907930.

The spelling of 195805728 in words is "one hundred ninety-five million, eight hundred five thousand, seven hundred twenty-eight".