89284272 has 320 divisors, whose sum is σ = 321408000. Its totient is φ = 21073920.

The previous prime is 89284253. The next prime is 89284313. The reversal of 89284272 is 27248298.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 3078754 + ... + 3078782.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^89284272 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 89284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

89284272 is an abundant number, since it is smaller than the sum of its proper divisors (232123728).

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

89284272 is a wasteful number, since it uses less digits than its factorization.

89284272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 89284272 is about 9449.0355063361. The cubic root of 89284272 is about 446.9493609086.

The spelling of 89284272 in words is "eighty-nine million, two hundred eighty-four thousand, two hundred seventy-two".