28087764031008 has 288 divisors, whose sum is σ = 90118147916160. Its totient is φ = 8504738035200.

The previous prime is 28087764030947. The next prime is 28087764031097. The reversal of 28087764031008 is 80013046778082.

It is a happy number.

28087764031008 is a `hidden beast` number, since 2 + 80 + 87 + 76 + 403 + 10 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 133397493 + ... + 133607883.

It is an arithmetic number, because the mean of its divisors is an integer number (312910235820).

Almost surely, 2^{28087764031008} 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 28087764031008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45059073958080).

28087764031008 is an abundant number, since it is smaller than the sum of its proper divisors (62030383885152).

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

28087764031008 is a wasteful number, since it uses less digits than its factorization.

28087764031008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211709 (or 211684 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 28087764031008 in words is "twenty-eight trillion, eighty-seven billion, seven hundred sixty-four million, thirty-one thousand, eight".