380628 has 36 divisors (see below), whose sum is σ = 980980. Its totient is φ = 124416.

The previous prime is 380623. The next prime is 380629. The reversal of 380628 is 826083.

380628 is a `hidden beast` number, since 38 + 0 + 628 = 666.

380628 is a nontrivial binomial coefficient, being equal to C(873, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 161604 = 468^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380628.

It is not an unprimeable number, because it can be changed into a prime (380621) 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 11 ways as a sum of consecutive naturals, for example, 3438 + ... + 3546.

2³⁸⁰⁶²⁸ is an apocalyptic number.

380628 is the 872-nd triangular number.

It is an amenable number.

380628 is an abundant number, since it is smaller than the sum of its proper divisors (600352).

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

380628 is a wasteful number, since it uses less digits than its factorization.

380628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380628 is about 616.9505652806. The cubic root of 380628 is about 72.4714433710.

The spelling of 380628 in words is "three hundred eighty thousand, six hundred twenty-eight".