11557728 has 240 divisors, whose sum is σ = 42688800. Its totient is φ = 3048192.

The previous prime is 11557717. The next prime is 11557751. The reversal of 11557728 is 82775511.

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

Its product of digits (19600) is a multiple of the sum of its prime divisors (25).

It is a junction number, because it is equal to n+sod(n) for n = 11557692 and 11557701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 889050 + ... + 889062.

It is an arithmetic number, because the mean of its divisors is an integer number (177870).

Almost surely, 2^11557728 is an apocalyptic number.

11557728 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 11557728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344400).

11557728 is an abundant number, since it is smaller than the sum of its proper divisors (31131072).

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

11557728 is an equidigital number, since it uses as much as digits as its factorization.

11557728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 11557728 is about 3399.6658659345. The cubic root of 11557728 is about 226.0949297077.

The spelling of 11557728 in words is "eleven million, five hundred fifty-seven thousand, seven hundred twenty-eight".