9008283648 has 512 divisors, whose sum is σ = 31708454400. Its totient is φ = 2208301056.

The previous prime is 9008283637. The next prime is 9008283673. The reversal of 9008283648 is 8463828009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×9008283648² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9008283597 and 9008283606.

It is a congruent number.

It is an unprimeable number.

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, 169967590 + ... + 169967642.

It is an arithmetic number, because the mean of its divisors is an integer number (61930575).

Almost surely, 2^9008283648 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 9008283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854227200).

9008283648 is an abundant number, since it is smaller than the sum of its proper divisors (22700170752).

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

9008283648 is a wasteful number, since it uses less digits than its factorization.

9008283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 9008283648 is about 94911.9784221149. The cubic root of 9008283648 is about 2080.7218007741.

The spelling of 9008283648 in words is "nine billion, eight million, two hundred eighty-three thousand, six hundred forty-eight".