28984511808000 has 2880 divisors, whose sum is σ = 126101841465600. Its totient is φ = 6265523404800.

The previous prime is 28984511807989. The next prime is 28984511808023. The reversal of 28984511808000 is 80811548982.

28984511808000 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 451 + 180 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 325668671956 + ... + 325668672044.

It is an arithmetic number, because the mean of its divisors is an integer number (43785361620).

Almost surely, 2^{28984511808000} is an apocalyptic number.

28984511808000 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 28984511808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63050920732800).

28984511808000 is an abundant number, since it is smaller than the sum of its proper divisors (97117329657600).

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

28984511808000 is an equidigital number, since it uses as much as digits as its factorization.

28984511808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 28984511808000 in words is "twenty-eight trillion, nine hundred eighty-four billion, five hundred eleven million, eight hundred eight thousand".