28360245873600 has 1344 divisors, whose sum is σ = 106596501137280. Its totient is φ = 7332691968000.

The previous prime is 28360245873551. The next prime is 28360245873611. The reversal of 28360245873600 is 637854206382.

28360245873600 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 0 + 24 + 5 + 8 + 7 + 3 + 600 = 666.

It is a super-2 number, since 2×28360245873600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 47825034904 + ... + 47825035496.

It is an arithmetic number, because the mean of its divisors is an integer number (79312872870).

Almost surely, 2^{28360245873600} is an apocalyptic number.

28360245873600 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 28360245873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53298250568640).

28360245873600 is an abundant number, since it is smaller than the sum of its proper divisors (78236255263680).

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

28360245873600 is a wasteful number, since it uses less digits than its factorization.

28360245873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 28360245873600 in words is "twenty-eight trillion, three hundred sixty billion, two hundred forty-five million, eight hundred seventy-three thousand, six hundred".