28471384999200 has 576 divisors, whose sum is σ = 109607078448000. Its totient is φ = 6328447795200.

The previous prime is 28471384999111. The next prime is 28471384999207. The reversal of 28471384999200 is 299948317482.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (28471384999207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50858416 + ... + 51415184.

It is an arithmetic number, because the mean of its divisors is an integer number (190290066750).

Almost surely, 2^{28471384999200} is an apocalyptic number.

28471384999200 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 28471384999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54803539224000).

28471384999200 is an abundant number, since it is smaller than the sum of its proper divisors (81135693448800).

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

28471384999200 is a wasteful number, since it uses less digits than its factorization.

28471384999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556965 (or 556952 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 28471384999200 in words is "twenty-eight trillion, four hundred seventy-one billion, three hundred eighty-four million, nine hundred ninety-nine thousand, two hundred".