28687604250816 has 1344 divisors, whose sum is σ = 101547803934720. Its totient is φ = 7571708928000.

The previous prime is 28687604250703. The next prime is 28687604250821. The reversal of 28687604250816 is 61805240678682.

28687604250816 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 7 + 604 + 2 + 5 + 0 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 45463714821 + ... + 45463715451.

Almost surely, 2^{28687604250816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28687604250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50773901967360).

28687604250816 is an abundant number, since it is smaller than the sum of its proper divisors (72860199683904).

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

28687604250816 is a wasteful number, since it uses less digits than its factorization.

28687604250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 28687604250816 in words is "twenty-eight trillion, six hundred eighty-seven billion, six hundred four million, two hundred fifty thousand, eight hundred sixteen".