216283648 has 120 divisors (see below), whose sum is σ = 518501412. Its totient is φ = 89800704.

The previous prime is 216283643. The next prime is 216283663. The reversal of 216283648 is 846382612.

It can be written as a sum of positive squares in 2 ways, for example, as 215267584 + 1016064 = 14672^2 + 1008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216283648.

It is not an unprimeable number, because it can be changed into a prime (216283643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928140 + ... + 928372.

Almost surely, 2^216283648 is an apocalyptic number.

216283648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259250706).

216283648 is an abundant number, since it is smaller than the sum of its proper divisors (302217764).

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

216283648 is an equidigital number, since it uses as much as digits as its factorization.

216283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 216283648 is about 14706.5851916752. The cubic root of 216283648 is about 600.2625221571.

The spelling of 216283648 in words is "two hundred sixteen million, two hundred eighty-three thousand, six hundred forty-eight".