28014901516800 has 1440 divisors, whose sum is σ = 114307088163840. Its totient is φ = 6491816755200.

The previous prime is 28014901516799. The next prime is 28014901516817. The reversal of 28014901516800 is 861510941082.

It is a happy number.

28014901516800 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 490 + 151 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2561005731 + ... + 2561016669.

It is an arithmetic number, because the mean of its divisors is an integer number (79379922336).

Almost surely, 2^{28014901516800} is an apocalyptic number.

28014901516800 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 28014901516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153544081920).

28014901516800 is an abundant number, since it is smaller than the sum of its proper divisors (86292186647040).

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

28014901516800 is a wasteful number, since it uses less digits than its factorization.

28014901516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 28014901516800 in words is "twenty-eight trillion, fourteen billion, nine hundred one million, five hundred sixteen thousand, eight hundred".