11526928 has 40 divisors (see below), whose sum is σ = 25801920. Its totient is φ = 4886400.

The previous prime is 11526923. The next prime is 11526941. The reversal of 11526928 is 82962511.

11526928 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11526928 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 11526893 and 11526902.

It is not an unprimeable number, because it can be changed into a prime (11526923) 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, 10803 + ... + 11821.

It is an arithmetic number, because the mean of its divisors is an integer number (645048).

Almost surely, 2^11526928 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 11526928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900960).

11526928 is an abundant number, since it is smaller than the sum of its proper divisors (14274992).

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

11526928 is a wasteful number, since it uses less digits than its factorization.

11526928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 11526928 is about 3395.1329870861. The cubic root of 11526928 is about 225.8939121476.

The spelling of 11526928 in words is "eleven million, five hundred twenty-six thousand, nine hundred twenty-eight".