395908128 has 288 divisors, whose sum is σ = 1453253760. Its totient is φ = 102643200.

The previous prime is 395908109. The next prime is 395908129. The reversal of 395908128 is 821809593.

It is a happy number.

395908128 is a `hidden beast` number, since 39 + 590 + 8 + 1 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (395908129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731538 + ... + 732078.

It is an arithmetic number, because the mean of its divisors is an integer number (5046020).

Almost surely, 2^395908128 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 395908128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726626880).

395908128 is an abundant number, since it is smaller than the sum of its proper divisors (1057345632).

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

395908128 is a wasteful number, since it uses less digits than its factorization.

395908128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 395908128 is about 19897.4402373773. The cubic root of 395908128 is about 734.2852526945.

The spelling of 395908128 in words is "three hundred ninety-five million, nine hundred eight thousand, one hundred twenty-eight".