90728568 has 96 divisors (see below), whose sum is σ = 289935360. Its totient is φ = 25081920.

The previous prime is 90728563. The next prime is 90728593. The reversal of 90728568 is 86582709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90728563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12721 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (3020160).

Almost surely, 2^90728568 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 90728568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144967680).

90728568 is an abundant number, since it is smaller than the sum of its proper divisors (199206792).

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

90728568 is a wasteful number, since it uses less digits than its factorization.

90728568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 90728568 is about 9525.1544869362. The cubic root of 90728568 is about 449.3464884357.

The spelling of 90728568 in words is "ninety million, seven hundred twenty-eight thousand, five hundred sixty-eight".