380928 has 52 divisors (see below), whose sum is σ = 1048448. Its totient is φ = 122880.

The previous prime is 380917. The next prime is 380929. The reversal of 380928 is 829083.

It is a super-2 number, since 2×380928² = 290212282368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380895 and 380904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380929) by changing a digit.

380928 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12273 + ... + 12303.

380928 is a Friedman number, since it can be written as 93*8^(8/(2+0)), using all its digits and the basic arithmetic operations.

2³⁸⁰⁹²⁸ 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 380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524224).

380928 is an abundant number, since it is smaller than the sum of its proper divisors (667520).

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

380928 is an equidigital number, since it uses as much as digits as its factorization.

380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 380928 is about 617.1936487035. The cubic root of 380928 is about 72.4904783373.

The spelling of 380928 in words is "three hundred eighty thousand, nine hundred twenty-eight".