380291328 has 144 divisors (see below), whose sum is σ = 1155759360. Its totient is φ = 123254784.

The previous prime is 380291321. The next prime is 380291341. The reversal of 380291328 is 823192083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 380291292 and 380291301.

It is not an unprimeable number, because it can be changed into a prime (380291321) 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 15 ways as a sum of consecutive naturals, for example, 255001 + ... + 256487.

Almost surely, 2^380291328 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 380291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577879680).

380291328 is an abundant number, since it is smaller than the sum of its proper divisors (775468032).

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

380291328 is a wasteful number, since it uses less digits than its factorization.

380291328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1529 counting only the distinct ones).

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

The square root of 380291328 is about 19501.0596635157. The cubic root of 380291328 is about 724.5006965602.

The spelling of 380291328 in words is "three hundred eighty million, two hundred ninety-one thousand, three hundred twenty-eight".