380215728 has 80 divisors (see below), whose sum is σ = 1095068800. Its totient is φ = 126308160.

The previous prime is 380215709. The next prime is 380215729. The reversal of 380215728 is 827512083.

380215728 is a `hidden beast` number, since 3 + 80 + 2 + 1 + 572 + 8 = 666.

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 = 380215692 and 380215701.

It is not an unprimeable number, because it can be changed into a prime (380215729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141663 + ... + 144321.

It is an arithmetic number, because the mean of its divisors is an integer number (13688360).

Almost surely, 2^380215728 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 380215728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547534400).

380215728 is an abundant number, since it is smaller than the sum of its proper divisors (714853072).

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

380215728 is a wasteful number, since it uses less digits than its factorization.

380215728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 380215728 is about 19499.1212109674. The cubic root of 380215728 is about 724.4526843492.

The spelling of 380215728 in words is "three hundred eighty million, two hundred fifteen thousand, seven hundred twenty-eight".