18528444 has 72 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 5527200.

The previous prime is 18528431. The next prime is 18528449. The reversal of 18528444 is 44482581.

It is a super-2 number, since 2×18528444² = 686606474122272, which contains 22 as substring.

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 = 18528399 and 18528408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18528449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27787 + ... + 28445.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^18528444 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 18528444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

18528444 is an abundant number, since it is smaller than the sum of its proper divisors (33363396).

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

18528444 is a wasteful number, since it uses less digits than its factorization.

18528444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 746 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 18528444 is about 4304.4679113684. The cubic root of 18528444 is about 264.6141007118.

It can be divided in two parts, 1852 and 8444, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 18528444 in words is "eighteen million, five hundred twenty-eight thousand, four hundred forty-four".