28406127248688 has 160 divisors (see below), whose sum is σ = 83942688832000. Its totient is φ = 8108589846528.

The previous prime is 28406127248687. The next prime is 28406127248729. The reversal of 28406127248688 is 88684272160482.

It is not an unprimeable number, because it can be changed into a prime (28406127248683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3473052183 + ... + 3473060361.

It is an arithmetic number, because the mean of its divisors is an integer number (524641805200).

Almost surely, 2^{28406127248688} is an apocalyptic number.

28406127248688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28406127248688 is an abundant number, since it is smaller than the sum of its proper divisors (55536561583312).

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

28406127248688 is a wasteful number, since it uses less digits than its factorization.

28406127248688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16419 (or 16413 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 66.

The spelling of 28406127248688 in words is "twenty-eight trillion, four hundred six billion, one hundred twenty-seven million, two hundred forty-eight thousand, six hundred eighty-eight".