8201728 has 40 divisors (see below), whose sum is σ = 16670808. Its totient is φ = 4030464.

The previous prime is 8201689. The next prime is 8201729. The reversal of 8201728 is 8271028.

It is a junction number, because it is equal to n+sod(n) for n = 8201696 and 8201705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201729) 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, 42400 + ... + 42592.

Almost surely, 2^8201728 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 8201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335404).

8201728 is an abundant number, since it is smaller than the sum of its proper divisors (8469080).

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

8201728 is an equidigital number, since it uses as much as digits as its factorization.

8201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 8201728 is about 2863.8659186491. The cubic root of 8201728 is about 201.6671314183.

The spelling of 8201728 in words is "eight million, two hundred one thousand, seven hundred twenty-eight".