28045854720000 has 3150 divisors, whose sum is σ = 120219325812278. Its totient is φ = 6497501184000.

The previous prime is 28045854719999. The next prime is 28045854720007. The reversal of 28045854720000 is 2745854082.

28045854720000 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 585 + 47 + 20 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 26838036135936 + 1207818584064 = 5180544^2 + 1099008^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28045854720007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 1649756159992 + ... + 1649756160008.

Almost surely, 2^{28045854720000} is an apocalyptic number.

28045854720000 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 28045854720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60109662906139).

28045854720000 is an abundant number, since it is smaller than the sum of its proper divisors (92173471092278).

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

28045854720000 is an frugal number, since it uses more digits than its factorization.

28045854720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 28045854720000 in words is "twenty-eight trillion, forty-five billion, eight hundred fifty-four million, seven hundred twenty thousand".