18527328 has 72 divisors (see below), whose sum is σ = 54997488. Its totient is φ = 5905152.

The previous prime is 18527323. The next prime is 18527329. The reversal of 18527328 is 82372581.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 18527292 and 18527301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18527323) 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, 5226 + ... + 8022.

It is an arithmetic number, because the mean of its divisors is an integer number (763854).

Almost surely, 2^18527328 is an apocalyptic number.

18527328 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 18527328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498744).

18527328 is an abundant number, since it is smaller than the sum of its proper divisors (36470160).

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

18527328 is a wasteful number, since it uses less digits than its factorization.

18527328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2825 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 18527328 is about 4304.3382766692. The cubic root of 18527328 is about 264.6087878845.

It can be divided in two parts, 1852 and 7328, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 18527328 in words is "eighteen million, five hundred twenty-seven thousand, three hundred twenty-eight".