11528040 has 64 divisors (see below), whose sum is σ = 36624960. Its totient is φ = 2892800.

The previous prime is 11528029. The next prime is 11528047. The reversal of 11528040 is 4082511.

It is a junction number, because it is equal to n+sod(n) for n = 11527998 and 11528016.

It is not an unprimeable number, because it can be changed into a prime (11528047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 4865.

It is an arithmetic number, because the mean of its divisors is an integer number (572265).

Almost surely, 2^11528040 is an apocalyptic number.

11528040 is a gapful number since it is divisible by the number (10) 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 11528040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312480).

11528040 is an abundant number, since it is smaller than the sum of its proper divisors (25096920).

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

11528040 is a wasteful number, since it uses less digits than its factorization.

11528040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 11528040 is about 3395.2967469722. The cubic root of 11528040 is about 225.9011758913.

The spelling of 11528040 in words is "eleven million, five hundred twenty-eight thousand, forty".