28129075200 has 336 divisors, whose sum is σ = 103362312960. Its totient is φ = 7499612160.

The previous prime is 28129075199. The next prime is 28129075207. The reversal of 28129075200 is 257092182.

28129075200 is a `hidden beast` number, since 2 + 8 + 129 + 0 + 7 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28129075207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5527057 + ... + 5532143.

Almost surely, 2^28129075200 is an apocalyptic number.

28129075200 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 28129075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51681156480).

28129075200 is an abundant number, since it is smaller than the sum of its proper divisors (75233237760).

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

28129075200 is an equidigital number, since it uses as much as digits as its factorization.

28129075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 28129075200 in words is "twenty-eight billion, one hundred twenty-nine million, seventy-five thousand, two hundred".