10556728 has 64 divisors (see below), whose sum is σ = 25824960. Its totient is φ = 3926016.

The previous prime is 10556713. The next prime is 10556731. The reversal of 10556728 is 82765501.

It is a super-2 number, since 2×10556728² = 222889012131968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10556693 and 10556702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11950 + ... + 12802.

It is an arithmetic number, because the mean of its divisors is an integer number (403515).

Almost surely, 2^10556728 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 10556728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912480).

10556728 is an abundant number, since it is smaller than the sum of its proper divisors (15268232).

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

10556728 is a wasteful number, since it uses less digits than its factorization.

10556728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 10556728 is about 3249.1118786524. Note that the first 3 decimals coincide. The cubic root of 10556728 is about 219.3696003032.

The spelling of 10556728 in words is "ten million, five hundred fifty-six thousand, seven hundred twenty-eight".