90280739328 has 320 divisors, whose sum is σ = 275449870080. Its totient is φ = 26062553088.

The previous prime is 90280739327. The next prime is 90280739369. The reversal of 90280739328 is 82393708209.

It is a happy number.

It is a super-2 number, since 2×90280739328² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90280739327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24339138 + ... + 24342846.

It is an arithmetic number, because the mean of its divisors is an integer number (860780844).

Almost surely, 2^90280739328 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 90280739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137724935040).

90280739328 is an abundant number, since it is smaller than the sum of its proper divisors (185169130752).

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

90280739328 is a wasteful number, since it uses less digits than its factorization.

90280739328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 90280739328 in words is "ninety billion, two hundred eighty million, seven hundred thirty-nine thousand, three hundred twenty-eight".