8005728 has 48 divisors (see below), whose sum is σ = 21273840. Its totient is φ = 2635776.

The previous prime is 8005721. The next prime is 8005729. The reversal of 8005728 is 8275008.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 8005695 and 8005704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8076 + ... + 9012.

It is an arithmetic number, because the mean of its divisors is an integer number (443205).

Almost surely, 2^8005728 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 8005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636920).

8005728 is an abundant number, since it is smaller than the sum of its proper divisors (13268112).

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

8005728 is a wasteful number, since it uses less digits than its factorization.

8005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

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

The square root of 8005728 is about 2829.4395204704. The cubic root of 8005728 is about 200.0477219455.

The spelling of 8005728 in words is "eight million, five thousand, seven hundred twenty-eight".