89244288 has 384 divisors, whose sum is σ = 334886400. Its totient is φ = 23224320.

The previous prime is 89244283. The next prime is 89244289. The reversal of 89244288 is 88244298.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89244283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878833 + ... + 2878863.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^89244288 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 89244288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

89244288 is an abundant number, since it is smaller than the sum of its proper divisors (245642112).

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

89244288 is a wasteful number, since it uses less digits than its factorization.

89244288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 89244288 is about 9446.9194979104. The cubic root of 89244288 is about 446.8826321288.

The spelling of 89244288 in words is "eighty-nine million, two hundred forty-four thousand, two hundred eighty-eight".