85288508928 has 640 divisors, whose sum is σ = 299599872000. Its totient is φ = 23451918336.

The previous prime is 85288508927. The next prime is 85288508959. The reversal of 85288508928 is 82980588258.

85288508928 is a `hidden beast` number, since 8 + 528 + 8 + 5 + 0 + 89 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85288508927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 428585373 + ... + 428585571.

It is an arithmetic number, because the mean of its divisors is an integer number (468124800).

Almost surely, 2^85288508928 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 85288508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149799936000).

85288508928 is an abundant number, since it is smaller than the sum of its proper divisors (214311363072).

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

85288508928 is a wasteful number, since it uses less digits than its factorization.

85288508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 85288508928 in words is "eighty-five billion, two hundred eighty-eight million, five hundred eight thousand, nine hundred twenty-eight".