11478528 has 120 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 3674112.

The previous prime is 11478517. The next prime is 11478529. The reversal of 11478528 is 82587411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11478492 and 11478501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216550 + ... + 216602.

Almost surely, 2^11478528 is an apocalyptic number.

11478528 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 11478528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

11478528 is an abundant number, since it is smaller than the sum of its proper divisors (22992480).

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

11478528 is an equidigital number, since it uses as much as digits as its factorization.

11478528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 11478528 is about 3387.9976387241. The cubic root of 11478528 is about 225.5773026811.

The spelling of 11478528 in words is "eleven million, four hundred seventy-eight thousand, five hundred twenty-eight".