365945328 has 240 divisors, whose sum is σ = 1238016000. Its totient is φ = 100759680.

The previous prime is 365945323. The next prime is 365945369. The reversal of 365945328 is 823549563.

365945328 is a `hidden beast` number, since 3 + 6 + 594 + 53 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365945323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531033 + ... + 1531271.

It is an arithmetic number, because the mean of its divisors is an integer number (5158400).

Almost surely, 2^365945328 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 365945328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619008000).

365945328 is an abundant number, since it is smaller than the sum of its proper divisors (872070672).

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

365945328 is a wasteful number, since it uses less digits than its factorization.

365945328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 365945328 is about 19129.6975407349. The cubic root of 365945328 is about 715.2733908141.

The spelling of 365945328 in words is "three hundred sixty-five million, nine hundred forty-five thousand, three hundred twenty-eight".