11410728 has 96 divisors (see below), whose sum is σ = 34364160. Its totient is φ = 3144960.

The previous prime is 11410727. The next prime is 11410733. The reversal of 11410728 is 82701411.

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 = 11410698 and 11410707.

It is not an unprimeable number, because it can be changed into a prime (11410727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36300 + ... + 36612.

It is an arithmetic number, because the mean of its divisors is an integer number (357960).

Almost surely, 2^11410728 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 11410728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182080).

11410728 is an abundant number, since it is smaller than the sum of its proper divisors (22953432).

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

11410728 is a wasteful number, since it uses less digits than its factorization.

11410728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11410728 is about 3377.9769093349. The cubic root of 11410728 is about 225.1322876390.

The spelling of 11410728 in words is "eleven million, four hundred ten thousand, seven hundred twenty-eight".