28469323868160 has 1536 divisors, whose sum is σ = 113943158784000. Its totient is φ = 5925211471872.

The previous prime is 28469323868107. The next prime is 28469323868191. The reversal of 28469323868160 is 6186832396482.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 28469323868091 and 28469323868100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10470511281 + ... + 10470513999.

It is an arithmetic number, because the mean of its divisors is an integer number (74181744000).

Almost surely, 2^{28469323868160} is an apocalyptic number.

28469323868160 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 28469323868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56971579392000).

28469323868160 is an abundant number, since it is smaller than the sum of its proper divisors (85473834915840).

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

28469323868160 is a wasteful number, since it uses less digits than its factorization.

28469323868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 28469323868160 in words is "twenty-eight trillion, four hundred sixty-nine billion, three hundred twenty-three million, eight hundred sixty-eight thousand, one hundred sixty".