89641728 has 216 divisors, whose sum is σ = 294630336. Its totient is φ = 26956800.

The previous prime is 89641693. The next prime is 89641733. The reversal of 89641728 is 82714698.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684223 + ... + 684353.

Almost surely, 2^89641728 is an apocalyptic number.

89641728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

89641728 is an abundant number, since it is smaller than the sum of its proper divisors (204988608).

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

89641728 is a wasteful number, since it uses less digits than its factorization.

89641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 89641728 is about 9467.9315586880. The cubic root of 89641728 is about 447.5450313079.

It can be divided in two parts, 896 and 41728, that added together give a palindrome (42624).

The spelling of 89641728 in words is "eighty-nine million, six hundred forty-one thousand, seven hundred twenty-eight".