8225728 has 84 divisors (see below), whose sum is σ = 19747992. Its totient is φ = 3386880.

The previous prime is 8225699. The next prime is 8225731. The reversal of 8225728 is 8275228.

It is a super-2 number, since 2×8225728² = 135325202259968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8225693 and 8225702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134818 + ... + 134878.

Almost surely, 2^8225728 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 8225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873996).

8225728 is an abundant number, since it is smaller than the sum of its proper divisors (11522264).

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

8225728 is a wasteful number, since it uses less digits than its factorization.

8225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 8225728 is about 2868.0529981156. The cubic root of 8225728 is about 201.8636468293.

The spelling of 8225728 in words is "eight million, two hundred twenty-five thousand, seven hundred twenty-eight".