28199199600 has 1440 divisors, whose sum is σ = 128254291200. Its totient is φ = 5785344000.

The previous prime is 28199199593. The next prime is 28199199629. The reversal of 28199199600 is 699199182.

28199199600 is a `hidden beast` number, since 2 + 8 + 19 + 9 + 19 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 909651585 + ... + 909651615.

It is an arithmetic number, because the mean of its divisors is an integer number (89065480).

Almost surely, 2^28199199600 is an apocalyptic number.

28199199600 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 28199199600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64127145600).

28199199600 is an abundant number, since it is smaller than the sum of its proper divisors (100055091600).

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

28199199600 is a wasteful number, since it uses less digits than its factorization.

28199199600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 28199199600 in words is "twenty-eight billion, one hundred ninety-nine million, one hundred ninety-nine thousand, six hundred".