28614882078720 has 3120 divisors, whose sum is σ = 126093105864000. Its totient is φ = 6180270243840.

The previous prime is 28614882078719. The next prime is 28614882078767. The reversal of 28614882078720 is 2787028841682.

28614882078720 is a `hidden beast` number, since 2 + 8 + 61 + 488 + 2 + 0 + 78 + 7 + 20 = 666.

It is a super-2 number, since 2×28614882078720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 143793377181 + ... + 143793377379.

Almost surely, 2^{28614882078720} is an apocalyptic number.

28614882078720 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 28614882078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63046552932000).

28614882078720 is an abundant number, since it is smaller than the sum of its proper divisors (97478223785280).

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

28614882078720 is a wasteful number, since it uses less digits than its factorization.

28614882078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 28614882078720 in words is "twenty-eight trillion, six hundred fourteen billion, eight hundred eighty-two million, seventy-eight thousand, seven hundred twenty".