988288 has 32 divisors (see below), whose sum is σ = 2252160. Its totient is φ = 423168.

The previous prime is 988279. The next prime is 988297. The reversal of 988288 is 882889.

It is an interprime number because it is at equal distance from previous prime (988279) and next prime (988297).

It is a tau number, because it is divible by the number of its divisors (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 988288.

It is an unprimeable number.

988288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345 + ... + 1447.

It is an arithmetic number, because the mean of its divisors is an integer number (70380).

2⁹⁸⁸²⁸⁸ 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 988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126080).

988288 is an abundant number, since it is smaller than the sum of its proper divisors (1263872).

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

988288 is a wasteful number, since it uses less digits than its factorization.

988288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its digits is 73728, while the sum is 43.

The square root of 988288 is about 994.1267524818. The cubic root of 988288 is about 99.6080658833.

The spelling of 988288 in words is "nine hundred eighty-eight thousand, two hundred eighty-eight".