395628 has 12 divisors (see below), whose sum is σ = 923160. Its totient is φ = 131872.

The previous prime is 395627. The next prime is 395657. The reversal of 395628 is 826593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (395621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16473 + ... + 16496.

It is an arithmetic number, because the mean of its divisors is an integer number (76930).

395628 is a Friedman number, since it can be written as (83^2+9^5)*6, using all its digits and the basic arithmetic operations.

2³⁹⁵⁶²⁸ is an apocalyptic number.

It is an amenable number.

395628 is an abundant number, since it is smaller than the sum of its proper divisors (527532).

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

395628 is a wasteful number, since it uses less digits than its factorization.

395628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32976 (or 32974 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 395628 is about 628.9896660518. The cubic root of 395628 is about 73.4112028675.

Adding to 395628 its reverse (826593), we get a palindrome (1222221).

The spelling of 395628 in words is "three hundred ninety-five thousand, six hundred twenty-eight".