28313646009600 has 1296 divisors, whose sum is σ = 116552552659200. Its totient is φ = 6013633167360.

The previous prime is 28313646009569. The next prime is 28313646009601. The reversal of 28313646009600 is 690064631382.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28313646009600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28313646009601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1263483196 + ... + 1263505604.

It is an arithmetic number, because the mean of its divisors is an integer number (89932525200).

Almost surely, 2^{28313646009600} is an apocalyptic number.

28313646009600 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 28313646009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58276276329600).

28313646009600 is an abundant number, since it is smaller than the sum of its proper divisors (88238906649600).

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

28313646009600 is a wasteful number, since it uses less digits than its factorization.

28313646009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22548 (or 22522 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 28313646009600 in words is "twenty-eight trillion, three hundred thirteen billion, six hundred forty-six million, nine thousand, six hundred".