28800005184000 has 960 divisors, whose sum is σ = 109964032244352. Its totient is φ = 7219691520000.

The previous prime is 28800005183987. The next prime is 28800005184037. The reversal of 28800005184000 is 48150000882.

28800005184000 is a `hidden beast` number, since 28 + 80 + 0 + 0 + 0 + 518 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

28800005184000 is a modest number, since divided by 5184000 gives 2880000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14208190987 + ... + 14208193013.

Almost surely, 2^{28800005184000} is an apocalyptic number.

28800005184000 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 28800005184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54982016122176).

28800005184000 is an abundant number, since it is smaller than the sum of its proper divisors (81164027060352).

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

28800005184000 is a wasteful number, since it uses less digits than its factorization.

28800005184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 28800005184000 its reverse (48150000882), we get a palindrome (28848155184882).

The spelling of 28800005184000 in words is "twenty-eight trillion, eight hundred billion, five million, one hundred eighty-four thousand".