89523721728 has 480 divisors, whose sum is σ = 305285460480. Its totient is φ = 24723947520.

The previous prime is 89523721711. The next prime is 89523721733. The reversal of 89523721728 is 82712732598.

89523721728 is a `hidden beast` number, since 89 + 523 + 7 + 2 + 17 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183826701 + ... + 183827187.

It is an arithmetic number, because the mean of its divisors is an integer number (636011376).

Almost surely, 2^89523721728 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 89523721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152642730240).

89523721728 is an abundant number, since it is smaller than the sum of its proper divisors (215761738752).

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

89523721728 is a wasteful number, since it uses less digits than its factorization.

89523721728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 89523721728 in words is "eighty-nine billion, five hundred twenty-three million, seven hundred twenty-one thousand, seven hundred twenty-eight".