28866795735120 has 320 divisors, whose sum is σ = 107313708625920. Its totient is φ = 6275989868544.

The previous prime is 28866795735109. The next prime is 28866795735163. The reversal of 28866795735120 is 2153759766882.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829772 + ... + 9003348.

It is an arithmetic number, because the mean of its divisors is an integer number (335355339456).

Almost surely, 2^{28866795735120} is an apocalyptic number.

28866795735120 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 28866795735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53656854312960).

28866795735120 is an abundant number, since it is smaller than the sum of its proper divisors (78446912890800).

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

28866795735120 is a wasteful number, since it uses less digits than its factorization.

28866795735120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173802 (or 4173796 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 28866795735120 in words is "twenty-eight trillion, eight hundred sixty-six billion, seven hundred ninety-five million, seven hundred thirty-five thousand, one hundred twenty".