89285328 has 100 divisors (see below), whose sum is σ = 281955168. Its totient is φ = 27051840.

The previous prime is 89285327. The next prime is 89285359. The reversal of 89285328 is 82358298.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89285323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11125 + ... + 17387.

Almost surely, 2^89285328 is an apocalyptic number.

89285328 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 89285328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140977584).

89285328 is an abundant number, since it is smaller than the sum of its proper divisors (192669840).

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

89285328 is a wasteful number, since it uses less digits than its factorization.

89285328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6279 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 89285328 is about 9449.0913848899. The cubic root of 89285328 is about 446.9511229833.

The spelling of 89285328 in words is "eighty-nine million, two hundred eighty-five thousand, three hundred twenty-eight".