5728008 has 64 divisors (see below), whose sum is σ = 16833600. Its totient is φ = 1601280.

The previous prime is 5728001. The next prime is 5728027. The reversal of 5728008 is 8008275.

It is not an unprimeable number, because it can be changed into a prime (5728001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598 + ... + 4266.

It is an arithmetic number, because the mean of its divisors is an integer number (263025).

Almost surely, 2^5728008 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 5728008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416800).

5728008 is an abundant number, since it is smaller than the sum of its proper divisors (11105592).

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

5728008 is a wasteful number, since it uses less digits than its factorization.

5728008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5728008 is about 2393.3257195793. The cubic root of 5728008 is about 178.9237006153.

The spelling of 5728008 in words is "five million, seven hundred twenty-eight thousand, eight".