28217406756 has 336 divisors, whose sum is σ = 88547235840. Its totient is φ = 6921794880.

The previous prime is 28217406743. The next prime is 28217406757. The reversal of 28217406756 is 65760471282.

It is not an unprimeable number, because it can be changed into a prime (28217406757) 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 111 ways as a sum of consecutive naturals, for example, 357182325 + ... + 357182403.

It is an arithmetic number, because the mean of its divisors is an integer number (263533440).

Almost surely, 2^28217406756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28217406756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44273617920).

28217406756 is an abundant number, since it is smaller than the sum of its proper divisors (60329829084).

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

28217406756 is an equidigital number, since it uses as much as digits as its factorization.

28217406756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 28217406756 in words is "twenty-eight billion, two hundred seventeen million, four hundred six thousand, seven hundred fifty-six".