18828288000 has 560 divisors, whose sum is σ = 70507975824. Its totient is φ = 4998758400.

The previous prime is 18828287987. The next prime is 18828288007. The reversal of 18828288000 is 88282881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18828288007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943887 + ... + 82944113.

Almost surely, 2^18828288000 is an apocalyptic number.

18828288000 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 18828288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35253987912).

18828288000 is an abundant number, since it is smaller than the sum of its proper divisors (51679687824).

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

18828288000 is an frugal number, since it uses more digits than its factorization.

18828288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 18828288000 in words is "eighteen billion, eight hundred twenty-eight million, two hundred eighty-eight thousand".