5728320 has 280 divisors, whose sum is σ = 23234904. Its totient is φ = 1327104.

The previous prime is 5728319. The next prime is 5728363. The reversal of 5728320 is 238275.

5728320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 5308416 = 648^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336952 + ... + 336968.

Almost surely, 2^5728320 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 5728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11617452).

5728320 is an abundant number, since it is smaller than the sum of its proper divisors (17506584).

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

5728320 is a wasteful number, since it uses less digits than its factorization.

5728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5728320 is about 2393.3908999576. The cubic root of 5728320 is about 178.9269491665.

The spelling of 5728320 in words is "five million, seven hundred twenty-eight thousand, three hundred twenty".