1105728 has 56 divisors (see below), whose sum is σ = 3157728. Its totient is φ = 339456.

The previous prime is 1105711. The next prime is 1105757. The reversal of 1105728 is 8275011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1105698 and 1105707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2275 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (56388).

2^1105728 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 1105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578864).

1105728 is an abundant number, since it is smaller than the sum of its proper divisors (2052000).

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

1105728 is a wasteful number, since it uses less digits than its factorization.

1105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 1105728 is about 1051.5360193545. The cubic root of 1105728 is about 103.4068802344.

The spelling of 1105728 in words is "one million, one hundred five thousand, seven hundred twenty-eight".