5728960224 has 216 divisors, whose sum is σ = 18227500200. Its totient is φ = 1761917184.

The previous prime is 5728960207. The next prime is 5728960243. The reversal of 5728960224 is 4220698275.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 5728960224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2728327 + ... + 2730425.

It is an arithmetic number, because the mean of its divisors is an integer number (84386575).

Almost surely, 2^5728960224 is an apocalyptic number.

5728960224 is a gapful number since it is divisible by the number (54) 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 5728960224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113750100).

5728960224 is an abundant number, since it is smaller than the sum of its proper divisors (12498539976).

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

5728960224 is an equidigital number, since it uses as much as digits as its factorization.

5728960224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5728960224 is about 75689.8951247787. The cubic root of 5728960224 is about 1789.3361482411.

The spelling of 5728960224 in words is "five billion, seven hundred twenty-eight million, nine hundred sixty thousand, two hundred twenty-four".