8601728 has 64 divisors (see below), whose sum is σ = 18727200. Its totient is φ = 3919872.

The previous prime is 8601727. The next prime is 8601739. The reversal of 8601728 is 8271068.

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

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 = 8601694 and 8601703.

It is not an unprimeable number, because it can be changed into a prime (8601727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128351 + ... + 128417.

Almost surely, 2^8601728 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 8601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363600).

8601728 is an abundant number, since it is smaller than the sum of its proper divisors (10125472).

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

8601728 is a wasteful number, since it uses less digits than its factorization.

8601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 8601728 is about 2932.8702664796. The cubic root of 8601728 is about 204.8936827256.

The spelling of 8601728 in words is "eight million, six hundred one thousand, seven hundred twenty-eight".