18428100000 has 576 divisors, whose sum is σ = 65909531520. Its totient is φ = 4492800000.

The previous prime is 18428099993. The next prime is 18428100013. The reversal of 18428100000 is 182481.

It is a super-2 number, since 2×18428100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302099970 + ... + 302100030.

It is an arithmetic number, because the mean of its divisors is an integer number (114426270).

Almost surely, 2^18428100000 is an apocalyptic number.

18428100000 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 18428100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32954765760).

18428100000 is an abundant number, since it is smaller than the sum of its proper divisors (47481431520).

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

18428100000 is an equidigital number, since it uses as much as digits as its factorization.

18428100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

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

Adding to 18428100000 its reverse (182481), we get a palindrome (18428282481).

The spelling of 18428100000 in words is "eighteen billion, four hundred twenty-eight million, one hundred thousand".