4028320224 has 144 divisors (see below), whose sum is σ = 11604548592. Its totient is φ = 1325451264.

The previous prime is 4028320217. The next prime is 4028320249. The reversal of 4028320224 is 4220238204.

4028320224 is a `hidden beast` number, since 402 + 8 + 32 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11608819 + ... + 11609165.

It is an arithmetic number, because the mean of its divisors is an integer number (80587143).

Almost surely, 2^4028320224 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 4028320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802274296).

4028320224 is an abundant number, since it is smaller than the sum of its proper divisors (7576228368).

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

4028320224 is a wasteful number, since it uses less digits than its factorization.

4028320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4028320224 is about 63469.0493390282. The cubic root of 4028320224 is about 1591.1385413664.

Adding to 4028320224 its reverse (4220238204), we get a palindrome (8248558428).

The spelling of 4028320224 in words is "four billion, twenty-eight million, three hundred twenty thousand, two hundred twenty-four".