18528552 has 96 divisors (see below), whose sum is σ = 58094400. Its totient is φ = 5225472.

The previous prime is 18528539. The next prime is 18528557. The reversal of 18528552 is 25582581.

18528552 is a `hidden beast` number, since 1 + 85 + 28 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18528557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48699 + ... + 49077.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^18528552 is an apocalyptic number.

18528552 is a gapful number since it is divisible by the number (12) 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 18528552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047200).

18528552 is an abundant number, since it is smaller than the sum of its proper divisors (39565848).

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

18528552 is a wasteful number, since it uses less digits than its factorization.

18528552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 488 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 18528552 is about 4304.4804564546. The cubic root of 18528552 is about 264.6146148450.

It can be divided in two parts, 1852 and 8552, that added together give a square (10404 = 102²).

The spelling of 18528552 in words is "eighteen million, five hundred twenty-eight thousand, five hundred fifty-two".