5728128 has 64 divisors (see below), whose sum is σ = 17397120. Its totient is φ = 1635840.

The previous prime is 5728103. The next prime is 5728147. The reversal of 5728128 is 8218275.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5728128² = 65622900768768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1623 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (271830).

Almost surely, 2^5728128 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 5728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698560).

5728128 is an abundant number, since it is smaller than the sum of its proper divisors (11668992).

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

5728128 is a wasteful number, since it uses less digits than its factorization.

5728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 5728128 is about 2393.3507891657. The cubic root of 5728128 is about 178.9249500720.

The spelling of 5728128 in words is "five million, seven hundred twenty-eight thousand, one hundred twenty-eight".