365028768 has 288 divisors, whose sum is σ = 1217414016. Its totient is φ = 106748928.

The previous prime is 365028761. The next prime is 365028773. The reversal of 365028768 is 867820563.

365028768 is a `hidden beast` number, since 3 + 6 + 502 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (365028761) 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 47 ways as a sum of consecutive naturals, for example, 2324946 + ... + 2325102.

It is an arithmetic number, because the mean of its divisors is an integer number (4227132).

Almost surely, 2^365028768 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 365028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608707008).

365028768 is an abundant number, since it is smaller than the sum of its proper divisors (852385248).

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

365028768 is a wasteful number, since it uses less digits than its factorization.

365028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 365028768 is about 19105.7260526786. The cubic root of 365028768 is about 714.6757249601.

The spelling of 365028768 in words is "three hundred sixty-five million, twenty-eight thousand, seven hundred sixty-eight".