28517573605248 has 3072 divisors, whose sum is σ = 116494969651200. Its totient is φ = 6672563453952.

The previous prime is 28517573605219. The next prime is 28517573605289. The reversal of 28517573605248 is 84250637571582.

28517573605248 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 7 + 573 + 6 + 0 + 52 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 174954439215 + ... + 174954439377.

It is an arithmetic number, because the mean of its divisors is an integer number (37921539600).

Almost surely, 2^{28517573605248} is an apocalyptic number.

28517573605248 is a gapful number since it is divisible by the number (28) 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 28517573605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247484825600).

28517573605248 is an abundant number, since it is smaller than the sum of its proper divisors (87977396045952).

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

28517573605248 is a wasteful number, since it uses less digits than its factorization.

28517573605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 28517573605248 in words is "twenty-eight trillion, five hundred seventeen billion, five hundred seventy-three million, six hundred five thousand, two hundred forty-eight".