85728697488 has 320 divisors, whose sum is σ = 292106304000. Its totient is φ = 23561404416.

The previous prime is 85728697421. The next prime is 85728697493. The reversal of 85728697488 is 88479682758.

85728697488 is a `hidden beast` number, since 8 + 57 + 2 + 8 + 6 + 97 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9953728 + ... + 9962336.

It is an arithmetic number, because the mean of its divisors is an integer number (912832200).

Almost surely, 2^85728697488 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 85728697488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146053152000).

85728697488 is an abundant number, since it is smaller than the sum of its proper divisors (206377606512).

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

85728697488 is a wasteful number, since it uses less digits than its factorization.

85728697488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759 (or 8747 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 85728697488 in words is "eighty-five billion, seven hundred twenty-eight million, six hundred ninety-seven thousand, four hundred eighty-eight".