395928 has 80 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 119232.

The previous prime is 395921. The next prime is 395953. The reversal of 395928 is 829593.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 395892 and 395901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395921) by changing a digit.

395928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8401 + ... + 8447.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2³⁹⁵⁹²⁸ 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 395928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840).

395928 is an abundant number, since it is smaller than the sum of its proper divisors (823752).

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

395928 is a wasteful number, since it uses less digits than its factorization.

395928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 395928 is about 629.2280985461. The cubic root of 395928 is about 73.4297537929.

The spelling of 395928 in words is "three hundred ninety-five thousand, nine hundred twenty-eight".