4513317228 has 288 divisors, whose sum is σ = 14280215040. Its totient is φ = 1173242880.

The previous prime is 4513317223. The next prime is 4513317229. The reversal of 4513317228 is 8227133154.

4513317228 is a `hidden beast` number, since 451 + 33 + 172 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4513317192 and 4513317201.

It is not an unprimeable number, because it can be changed into a prime (4513317223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16293426 + ... + 16293702.

It is an arithmetic number, because the mean of its divisors is an integer number (49584080).

Almost surely, 2^4513317228 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 4513317228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140107520).

4513317228 is an abundant number, since it is smaller than the sum of its proper divisors (9766897812).

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

4513317228 is a wasteful number, since it uses less digits than its factorization.

4513317228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 4513317228 is about 67181.2267527172. The cubic root of 4513317228 is about 1652.5906322992.

The spelling of 4513317228 in words is "four billion, five hundred thirteen million, three hundred seventeen thousand, two hundred twenty-eight".