395735328 has 48 divisors (see below), whose sum is σ = 1154230560. Its totient is φ = 131911488.

The previous prime is 395735303. The next prime is 395735341. The reversal of 395735328 is 823537593.

395735328 is a `hidden beast` number, since 3 + 9 + 573 + 53 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 228150 + ... + 229877.

It is an arithmetic number, because the mean of its divisors is an integer number (24046470).

Almost surely, 2^395735328 is an apocalyptic number.

It is an amenable number.

395735328 is an abundant number, since it is smaller than the sum of its proper divisors (758495232).

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

395735328 is a wasteful number, since it uses less digits than its factorization.

395735328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458046 (or 458032 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 395735328 is about 19893.0974963679. The cubic root of 395735328 is about 734.1784072360.

The spelling of 395735328 in words is "three hundred ninety-five million, seven hundred thirty-five thousand, three hundred twenty-eight".