368095728 has 320 divisors, whose sum is σ = 1311916032. Its totient is φ = 85847040.

The previous prime is 368095727. The next prime is 368095751. The reversal of 368095728 is 827590863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368095727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2258175 + ... + 2258337.

Almost surely, 2^368095728 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 368095728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655958016).

368095728 is an abundant number, since it is smaller than the sum of its proper divisors (943820304).

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

368095728 is a wasteful number, since it uses less digits than its factorization.

368095728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 368095728 is about 19185.8210144888. The cubic root of 368095728 is about 716.6717061361.

The spelling of 368095728 in words is "three hundred sixty-eight million, ninety-five thousand, seven hundred twenty-eight".