18528700 has 72 divisors (see below), whose sum is σ = 42775040. Its totient is φ = 6955200.

The previous prime is 18528683. The next prime is 18528701. The reversal of 18528700 is 782581.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18528701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133231 + ... + 133369.

Almost surely, 2^18528700 is an apocalyptic number.

18528700 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 18528700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21387520).

18528700 is an abundant number, since it is smaller than the sum of its proper divisors (24246340).

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

18528700 is a wasteful number, since it uses less digits than its factorization.

18528700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 18528700 is about 4304.4976478098. The cubic root of 18528700 is about 264.6153193947.

The spelling of 18528700 in words is "eighteen million, five hundred twenty-eight thousand, seven hundred".