8533728 has 192 divisors, whose sum is σ = 30481920. Its totient is φ = 2267136.

The previous prime is 8533697. The next prime is 8533729. The reversal of 8533728 is 8273358.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 8533692 and 8533701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8533729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102775 + ... + 102857.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^8533728 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 8533728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

8533728 is an abundant number, since it is smaller than the sum of its proper divisors (21948192).

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

8533728 is a wasteful number, since it uses less digits than its factorization.

8533728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 8533728 is about 2921.2545250286. The cubic root of 8533728 is about 204.3523323063.

It can be divided in two parts, 8533 and 728, that added together give a cube (9261 = 21³).

The spelling of 8533728 in words is "eight million, five hundred thirty-three thousand, seven hundred twenty-eight".