395083328 has 56 divisors (see below), whose sum is σ = 826812672. Its totient is φ = 186937344.

The previous prime is 395083301. The next prime is 395083333. The reversal of 395083328 is 823380593.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141401 + ... + 144167.

It is an arithmetic number, because the mean of its divisors is an integer number (14764512).

Almost surely, 2^395083328 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 395083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413406336).

395083328 is an abundant number, since it is smaller than the sum of its proper divisors (431729344).

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

395083328 is a wasteful number, since it uses less digits than its factorization.

395083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 395083328 is about 19876.7031471519. The cubic root of 395083328 is about 733.7749831825.

It can be divided in two parts, 3950 and 83328, that added together give a palindrome (87278).

The spelling of 395083328 in words is "three hundred ninety-five million, eighty-three thousand, three hundred twenty-eight".