28795120099200 has 1536 divisors, whose sum is σ = 136528178304000. Its totient is φ = 5755663319040.

The previous prime is 28795120099153. The next prime is 28795120099247. The reversal of 28795120099200 is 299002159782.

28795120099200 is a `hidden beast` number, since 287 + 9 + 51 + 20 + 0 + 99 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (28795120099153) and next prime (28795120099247).

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 191 ways as a sum of consecutive naturals, for example, 149289222 + ... + 149481978.

It is an arithmetic number, because the mean of its divisors is an integer number (88885532750).

Almost surely, 2^{28795120099200} is an apocalyptic number.

28795120099200 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 28795120099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68264089152000).

28795120099200 is an abundant number, since it is smaller than the sum of its proper divisors (107733058204800).

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

28795120099200 is a wasteful number, since it uses less digits than its factorization.

28795120099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192829 (or 192806 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 28795120099200 in words is "twenty-eight trillion, seven hundred ninety-five billion, one hundred twenty million, ninety-nine thousand, two hundred".