28317321131904 has 1152 divisors, whose sum is σ = 103423385520000. Its totient is φ = 7678566346752.

The previous prime is 28317321131903. The next prime is 28317321131941. The reversal of 28317321131904 is 40913112371382.

28317321131904 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 7 + 321 + 1 + 319 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 28317321131904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28317321131903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2607722827 + ... + 2607733685.

It is an arithmetic number, because the mean of its divisors is an integer number (89777244375).

Almost surely, 2^{28317321131904} is an apocalyptic number.

28317321131904 is a gapful number since it is divisible by the number (24) 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 28317321131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51711692760000).

28317321131904 is an abundant number, since it is smaller than the sum of its proper divisors (75106064388096).

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

28317321131904 is a wasteful number, since it uses less digits than its factorization.

28317321131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 28317321131904 in words is "twenty-eight trillion, three hundred seventeen billion, three hundred twenty-one million, one hundred thirty-one thousand, nine hundred four".