90240308928 has 504 divisors, whose sum is σ = 334988269824. Its totient is φ = 23430643200.

The previous prime is 90240308923. The next prime is 90240308929. The reversal of 90240308928 is 82980304209.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90240308923) 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 71 ways as a sum of consecutive naturals, for example, 32331213 + ... + 32334003.

Almost surely, 2^90240308928 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 90240308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167494134912).

90240308928 is an abundant number, since it is smaller than the sum of its proper divisors (244747960896).

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

90240308928 is an equidigital number, since it uses as much as digits as its factorization.

90240308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 90240308928 in words is "ninety billion, two hundred forty million, three hundred eight thousand, nine hundred twenty-eight".