28106422882560 has 1152 divisors, whose sum is σ = 111932684236800. Its totient is φ = 6618493255680.

The previous prime is 28106422882541. The next prime is 28106422882591. The reversal of 28106422882560 is 6528822460182.

28106422882560 is a `hidden beast` number, since 2 + 8 + 10 + 6 + 42 + 28 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 28106422882497 and 28106422882506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11069877771 + ... + 11069880309.

It is an arithmetic number, because the mean of its divisors is an integer number (97163788400).

Almost surely, 2^{28106422882560} is an apocalyptic number.

28106422882560 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 28106422882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55966342118400).

28106422882560 is an abundant number, since it is smaller than the sum of its proper divisors (83826261354240).

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

28106422882560 is a wasteful number, since it uses less digits than its factorization.

28106422882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

It can be divided in two parts, 28106422 and 882560, that added together give a palindrome (28988982).

The spelling of 28106422882560 in words is "twenty-eight trillion, one hundred six billion, four hundred twenty-two million, eight hundred eighty-two thousand, five hundred sixty".