395824128 has 176 divisors, whose sum is σ = 1226234880. Its totient is φ = 111181824.

The previous prime is 395824081. The next prime is 395824129. The reversal of 395824128 is 821428593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 395824128.

It is not an unprimeable number, because it can be changed into a prime (395824129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698700 + ... + 1698932.

Almost surely, 2^395824128 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 395824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613117440).

395824128 is an abundant number, since it is smaller than the sum of its proper divisors (830410752).

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

395824128 is a wasteful number, since it uses less digits than its factorization.

395824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 395824128 is about 19895.3293011199. The cubic root of 395824128 is about 734.2333178140.

The spelling of 395824128 in words is "three hundred ninety-five million, eight hundred twenty-four thousand, one hundred twenty-eight".