11728816 has 40 divisors (see below), whose sum is σ = 25069824. Its totient is φ = 5271360.

The previous prime is 11728811. The next prime is 11728817. The reversal of 11728816 is 61882711.

It is not an unprimeable number, because it can be changed into a prime (11728811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17805 + ... + 18451.

Almost surely, 2^11728816 is an apocalyptic number.

11728816 is a gapful number since it is divisible by the number (16) 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 11728816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534912).

11728816 is an abundant number, since it is smaller than the sum of its proper divisors (13341008).

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

11728816 is a wasteful number, since it uses less digits than its factorization.

11728816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its digits is 5376, while the sum is 34.

The square root of 11728816 is about 3424.7359022266. The cubic root of 11728816 is about 227.2050906417.

It can be divided in two parts, 11728 and 816, that added together give a square (12544 = 112²).

The spelling of 11728816 in words is "eleven million, seven hundred twenty-eight thousand, eight hundred sixteen".