28688919705600 has 2304 divisors, whose sum is σ = 127404845568000. Its totient is φ = 5514382540800.

The previous prime is 28688919705553. The next prime is 28688919705631. The reversal of 28688919705600 is 650791988682.

It is a super-2 number, since 2×28688919705600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9662820916 + ... + 9662823884.

It is an arithmetic number, because the mean of its divisors is an integer number (55297242000).

Almost surely, 2^{28688919705600} is an apocalyptic number.

28688919705600 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 28688919705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63702422784000).

28688919705600 is an abundant number, since it is smaller than the sum of its proper divisors (98715925862400).

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

28688919705600 is a wasteful number, since it uses less digits than its factorization.

28688919705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 69.

The spelling of 28688919705600 in words is "twenty-eight trillion, six hundred eighty-eight billion, nine hundred nineteen million, seven hundred five thousand, six hundred".