4288804416 has 224 divisors, whose sum is σ = 13774521600. Its totient is φ = 1300561920.

The previous prime is 4288804381. The next prime is 4288804433. The reversal of 4288804416 is 6144088824.

It is a super-2 number, since 2×4288804416² = 36787686637402202112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593600 + ... + 1596288.

It is an arithmetic number, because the mean of its divisors is an integer number (61493400).

Almost surely, 2^4288804416 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 4288804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887260800).

4288804416 is an abundant number, since it is smaller than the sum of its proper divisors (9485717184).

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

4288804416 is a wasteful number, since it uses less digits than its factorization.

4288804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4288804416 is about 65488.9640779269. The cubic root of 4288804416 is about 1624.7208250661.

The spelling of 4288804416 in words is "four billion, two hundred eighty-eight million, eight hundred four thousand, four hundred sixteen".