195949728 has 144 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 59761152.

The previous prime is 195949727. The next prime is 195949759. The reversal of 195949728 is 827949591.

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

Its product of digits (1632960) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195949727) 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, 744925 + ... + 745187.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2^195949728 is an apocalyptic number.

195949728 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 195949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

195949728 is an abundant number, since it is smaller than the sum of its proper divisors (409455072).

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

195949728 is a wasteful number, since it uses less digits than its factorization.

195949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 195949728 is about 13998.2044562865. The cubic root of 195949728 is about 580.8289059675.

The spelling of 195949728 in words is "one hundred ninety-five million, nine hundred forty-nine thousand, seven hundred twenty-eight".