380752128 has 108 divisors (see below), whose sum is σ = 1162498428. Its totient is φ = 119439360.

The previous prime is 380752121. The next prime is 380752133. The reversal of 380752128 is 821257083.

It can be written as a sum of positive squares in 2 ways, for example, as 128323584 + 252428544 = 11328^2 + 15888^2 .

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 = 380752092 and 380752101.

It is not an unprimeable number, because it can be changed into a prime (380752121) 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, 34308 + ... + 44028.

Almost surely, 2^380752128 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 380752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581249214).

380752128 is an abundant number, since it is smaller than the sum of its proper divisors (781746300).

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

380752128 is a wasteful number, since it uses less digits than its factorization.

380752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760 (or 9743 counting only the distinct ones).

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

The square root of 380752128 is about 19512.8708292757. The cubic root of 380752128 is about 724.7932049127.

The spelling of 380752128 in words is "three hundred eighty million, seven hundred fifty-two thousand, one hundred twenty-eight".