28985299200000 has 5760 divisors, whose sum is σ = 140463842238720. Its totient is φ = 5839257600000.

The previous prime is 28985299199903. The next prime is 28985299200131. The reversal of 28985299200000 is 299258982.

28985299200000 is a `hidden beast` number, since 2 + 8 + 98 + 529 + 9 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28985299200000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 39000 × 30360 × 24480.

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 1260230399989 + ... + 1260230400011.

It is an arithmetic number, because the mean of its divisors is an integer number (24386083722).

Almost surely, 2^{28985299200000} is an apocalyptic number.

28985299200000 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 28985299200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70231921119360).

28985299200000 is an abundant number, since it is smaller than the sum of its proper divisors (111478543038720).

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

28985299200000 is a wasteful number, since it uses less digits than its factorization.

28985299200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 28985299200000 in words is "twenty-eight trillion, nine hundred eighty-five billion, two hundred ninety-nine million, two hundred thousand".