11328928 has 48 divisors (see below), whose sum is σ = 24332616. Its totient is φ = 5160960.

The previous prime is 11328901. The next prime is 11328931. The reversal of 11328928 is 82982311.

11328928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 5626384 = 2388^2 + 2372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11328893 and 11328902.

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, 46888 + ... + 47128.

Almost surely, 2^11328928 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 11328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166308).

11328928 is an abundant number, since it is smaller than the sum of its proper divisors (13003688).

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

11328928 is a wasteful number, since it uses less digits than its factorization.

11328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 11328928 is about 3365.8472930304. The cubic root of 11328928 is about 224.5930289398.

It can be divided in two parts, 113 and 28928, that multiplied together give a square (3268864 = 1808²).

The spelling of 11328928 in words is "eleven million, three hundred twenty-eight thousand, nine hundred twenty-eight".