28287758419968 has 384 divisors, whose sum is σ = 80668978790400. Its totient is φ = 8799849676800.

The previous prime is 28287758419961. The next prime is 28287758419969. The reversal of 28287758419968 is 86991485778282.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28287758419968² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28287758419961) 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 31 ways as a sum of consecutive naturals, for example, 646984348 + ... + 647028068.

It is an arithmetic number, because the mean of its divisors is an integer number (210075465600).

Almost surely, 2^{28287758419968} 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 28287758419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334489395200).

28287758419968 is an abundant number, since it is smaller than the sum of its proper divisors (52381220370432).

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

28287758419968 is a wasteful number, since it uses less digits than its factorization.

28287758419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43899 (or 43879 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 84.

The spelling of 28287758419968 in words is "twenty-eight trillion, two hundred eighty-seven billion, seven hundred fifty-eight million, four hundred nineteen thousand, nine hundred sixty-eight".