90528768 has 264 divisors, whose sum is σ = 306558720. Its totient is φ = 25436160.

The previous prime is 90528761. The next prime is 90528797. The reversal of 90528768 is 86782509.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90528761) 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, 1926121 + ... + 1926167.

Almost surely, 2^90528768 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 90528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279360).

90528768 is an abundant number, since it is smaller than the sum of its proper divisors (216029952).

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

90528768 is a wasteful number, since it uses less digits than its factorization.

90528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

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

The square root of 90528768 is about 9514.6606875915. The cubic root of 90528768 is about 449.0163997826.

The spelling of 90528768 in words is "ninety million, five hundred twenty-eight thousand, seven hundred sixty-eight".