28409688106296 has 128 divisors (see below), whose sum is σ = 83961000591360. Its totient is φ = 7839082800000.

The previous prime is 28409688106273. The next prime is 28409688106309. The reversal of 28409688106296 is 69260188690482.

It is a happy number.

It is a super-4 number, since 4×28409688106296⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 28409688106296.

It is a congruent number.

It is an unprimeable number.

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, 3064330 + ... + 8136921.

It is an arithmetic number, because the mean of its divisors is an integer number (655945317120).

Almost surely, 2^{28409688106296} is an apocalyptic number.

It is an amenable number.

28409688106296 is an abundant number, since it is smaller than the sum of its proper divisors (55551312485064).

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

28409688106296 is a wasteful number, since it uses less digits than its factorization.

28409688106296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201785 (or 11201781 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

The spelling of 28409688106296 in words is "twenty-eight trillion, four hundred nine billion, six hundred eighty-eight million, one hundred six thousand, two hundred ninety-six".