395252928 has 168 divisors, whose sum is σ = 1304739072. Its totient is φ = 112061952.

The previous prime is 395252911. The next prime is 395252929. The reversal of 395252928 is 829252593.

395252928 is a `hidden beast` number, since 39 + 525 + 2 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (395252929) 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 23 ways as a sum of consecutive naturals, for example, 673051 + ... + 673637.

It is an arithmetic number, because the mean of its divisors is an integer number (7766304).

Almost surely, 2^395252928 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 395252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652369536).

395252928 is an abundant number, since it is smaller than the sum of its proper divisors (909486144).

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

395252928 is a wasteful number, since it uses less digits than its factorization.

395252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 395252928 is about 19880.9689904693. The cubic root of 395252928 is about 733.8799656213.

The spelling of 395252928 in words is "three hundred ninety-five million, two hundred fifty-two thousand, nine hundred twenty-eight".