28418128200 has 864 divisors, whose sum is σ = 128310492960. Its totient is φ = 5554483200.

The previous prime is 28418128199. The next prime is 28418128213. The reversal of 28418128200 is 282181482.

28418128200 is a `hidden beast` number, since 28 + 418 + 12 + 8 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16492539 + ... + 16494261.

It is an arithmetic number, because the mean of its divisors is an integer number (148507515).

Almost surely, 2^28418128200 is an apocalyptic number.

28418128200 is a gapful number since it is divisible by the number (20) 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 28418128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64155246480).

28418128200 is an abundant number, since it is smaller than the sum of its proper divisors (99892364760).

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

28418128200 is a wasteful number, since it uses less digits than its factorization.

28418128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 28418128200 in words is "twenty-eight billion, four hundred eighteen million, one hundred twenty-eight thousand, two hundred".