8205728 has 24 divisors (see below), whose sum is σ = 16272900. Its totient is φ = 4072960.

The previous prime is 8205727. The next prime is 8205737. The reversal of 8205728 is 8275028.

It can be written as a sum of positive squares in 2 ways, for example, as 8133904 + 71824 = 2852^2 + 268^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8205694 and 8205703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3908 + ... + 5628.

Almost surely, 2^8205728 is an apocalyptic number.

It is an amenable number.

8205728 is a deficient number, since it is larger than the sum of its proper divisors (8067172).

8205728 is a wasteful number, since it uses less digits than its factorization.

8205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8205728 is about 2864.5641902391. The cubic root of 8205728 is about 201.6999105848.

The spelling of 8205728 in words is "eight million, two hundred five thousand, seven hundred twenty-eight".