18428100 has 144 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 4492800.

The previous prime is 18428077. The next prime is 18428101. The reversal of 18428100 is 182481.

It is a super-2 number, since 2×18428100² = 679189739220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18428101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302070 + ... + 302130.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 2^18428100 is an apocalyptic number.

18428100 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 18428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

18428100 is an abundant number, since it is smaller than the sum of its proper divisors (39693180).

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

18428100 is a wasteful number, since it uses less digits than its factorization.

18428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 18428100 is about 4292.7962914632. The cubic root of 18428100 is about 264.1355479315.

It can be divided in two parts, 18428 and 100, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 18428100 in words is "eighteen million, four hundred twenty-eight thousand, one hundred".