28969264896 has 576 divisors, whose sum is σ = 95644286976. Its totient is φ = 7664025600.

The previous prime is 28969264879. The next prime is 28969264903. The reversal of 28969264896 is 69846296982.

It is a super-3 number, since 3×28969264896³ (a number of 32 digits) contains 333 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 28969264896.

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 63 ways as a sum of consecutive naturals, for example, 228104385 + ... + 228104511.

Almost surely, 2^28969264896 is an apocalyptic number.

28969264896 is a gapful number since it is divisible by the number (26) 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 28969264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47822143488).

28969264896 is an abundant number, since it is smaller than the sum of its proper divisors (66675022080).

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

28969264896 is a wasteful number, since it uses less digits than its factorization.

28969264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 69.

The spelling of 28969264896 in words is "twenty-eight billion, nine hundred sixty-nine million, two hundred sixty-four thousand, eight hundred ninety-six".