380986528 has 72 divisors (see below), whose sum is σ = 835538004. Its totient is φ = 169989120.

The previous prime is 380986523. The next prime is 380986547. The reversal of 380986528 is 825689083.

It can be written as a sum of positive squares in 2 ways, for example, as 359936784 + 21049744 = 18972^2 + 4588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380986523) 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 11 ways as a sum of consecutive naturals, for example, 399300 + ... + 400252.

Almost surely, 2^380986528 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 380986528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417769002).

380986528 is an abundant number, since it is smaller than the sum of its proper divisors (454551476).

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

380986528 is a wasteful number, since it uses less digits than its factorization.

380986528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 380986528 is about 19518.8761971585. The cubic root of 380986528 is about 724.9419076719.

The spelling of 380986528 in words is "three hundred eighty million, nine hundred eighty-six thousand, five hundred twenty-eight".