8892288 has 128 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 2833920.

The previous prime is 8892277. The next prime is 8892337. The reversal of 8892288 is 8822988.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107095 + ... + 107177.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 2^8892288 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 8892288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

8892288 is an abundant number, since it is smaller than the sum of its proper divisors (18525312).

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

8892288 is a wasteful number, since it uses less digits than its factorization.

8892288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 8892288 is about 2981.9939637766. The cubic root of 8892288 is about 207.1752349366.

It can be divided in two parts, 8892 and 288, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8892288 in words is "eight million, eight hundred ninety-two thousand, two hundred eighty-eight".