386928 has 30 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 128928.

The previous prime is 386927. The next prime is 386963. The reversal of 386928 is 829683.

386928 is nontrivially palindromic in base 14.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 386892 and 386901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1200 + ... + 1487.

2³⁸⁶⁹²⁸ is an apocalyptic number.

It is an amenable number.

386928 is an abundant number, since it is smaller than the sum of its proper divisors (696336).

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

386928 is a wasteful number, since it uses less digits than its factorization.

386928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2692 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 386928 is about 622.0353687693. The cubic root of 386928 is about 72.8690967369.

The spelling of 386928 in words is "three hundred eighty-six thousand, nine hundred twenty-eight".