28240882282080 has 2016 divisors, whose sum is σ = 112565182276512. Its totient is φ = 6684423782400.

The previous prime is 28240882282033. The next prime is 28240882282097. The reversal of 28240882282080 is 8028228804282.

It is a happy number.

28240882282080 is a `hidden beast` number, since 2 + 8 + 2 + 408 + 8 + 2 + 28 + 208 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 67080480270 + ... + 67080480690.

It is an arithmetic number, because the mean of its divisors is an integer number (55835903907).

Almost surely, 2^{28240882282080} is an apocalyptic number.

28240882282080 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 28240882282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56282591138256).

28240882282080 is an abundant number, since it is smaller than the sum of its proper divisors (84324299994432).

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

28240882282080 is a wasteful number, since it uses less digits than its factorization.

28240882282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 54.

The spelling of 28240882282080 in words is "twenty-eight trillion, two hundred forty billion, eight hundred eighty-two million, two hundred eighty-two thousand, eighty".