4283288352 has 216 divisors, whose sum is σ = 14627837952. Its totient is φ = 1184198400.

The previous prime is 4283288309. The next prime is 4283288369. The reversal of 4283288352 is 2538823824.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4283288298 and 4283288307.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432577 + ... + 442367.

It is an arithmetic number, because the mean of its divisors is an integer number (67721472).

Almost surely, 2^4283288352 is an apocalyptic number.

4283288352 is a gapful number since it is divisible by the number (42) 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 4283288352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313918976).

4283288352 is an abundant number, since it is smaller than the sum of its proper divisors (10344549600).

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

4283288352 is a wasteful number, since it uses less digits than its factorization.

4283288352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852 (or 9834 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4283288352 is about 65446.8360732587. The cubic root of 4283288352 is about 1624.0239790356.

The spelling of 4283288352 in words is "four billion, two hundred eighty-three million, two hundred eighty-eight thousand, three hundred fifty-two".