87315535728 has 480 divisors, whose sum is σ = 282818952000. Its totient is φ = 24970788864.

The previous prime is 87315535693. The next prime is 87315535729. The reversal of 87315535728 is 82753551378.

87315535728 is a `hidden beast` number, since 8 + 7 + 3 + 15 + 53 + 572 + 8 = 666.

Its product of digits (7056000) is a multiple of the sum of its prime divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87315535729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194466448 + ... + 194466896.

It is an arithmetic number, because the mean of its divisors is an integer number (589206150).

Almost surely, 2^87315535728 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 87315535728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141409476000).

87315535728 is an abundant number, since it is smaller than the sum of its proper divisors (195503416272).

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

87315535728 is a wasteful number, since it uses less digits than its factorization.

87315535728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 87315535728 in words is "eighty-seven billion, three hundred fifteen million, five hundred thirty-five thousand, seven hundred twenty-eight".