395728 has 10 divisors (see below), whose sum is σ = 766754. Its totient is φ = 197856.

The previous prime is 395719. The next prime is 395737. The reversal of 395728 is 827593.

It is an interprime number because it is at equal distance from previous prime (395719) and next prime (395737).

It can be written as a sum of positive squares in only one way, i.e., 242064 + 153664 = 492^2 + 392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 395693 and 395702.

It is a congruent number.

It is an unprimeable number.

395728 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 as a sum of consecutive naturals, namely, 12351 + ... + 12382.

395728 is a Friedman number, since it can be written as 5^8+7*(9*3)^2, using all its digits and the basic arithmetic operations.

2³⁹⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

395728 is a deficient number, since it is larger than the sum of its proper divisors (371026).

395728 is a wasteful number, since it uses less digits than its factorization.

395728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24741 (or 24735 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 395728 is about 629.0691535912. The cubic root of 395728 is about 73.4173875510.

The spelling of 395728 in words is "three hundred ninety-five thousand, seven hundred twenty-eight".