10855728 has 80 divisors (see below), whose sum is σ = 33574240. Its totient is φ = 3338496.

The previous prime is 10855727. The next prime is 10855751. The reversal of 10855728 is 82755801.

10855728 is a `hidden beast` number, since 1 + 0 + 85 + 572 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10855692 and 10855701.

It is not an unprimeable number, because it can be changed into a prime (10855721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4650 + ... + 6582.

It is an arithmetic number, because the mean of its divisors is an integer number (419678).

Almost surely, 2^10855728 is an apocalyptic number.

10855728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10855728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787120).

10855728 is an abundant number, since it is smaller than the sum of its proper divisors (22718512).

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

10855728 is a wasteful number, since it uses less digits than its factorization.

10855728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 10855728 is about 3294.8031807682. The cubic root of 10855728 is about 221.4214299069.

The spelling of 10855728 in words is "ten million, eight hundred fifty-five thousand, seven hundred twenty-eight".