88266288 has 80 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 26615040.

The previous prime is 88266281. The next prime is 88266289.

88266288 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (88266281) 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 15 ways as a sum of consecutive naturals, for example, 184033 + ... + 184511.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^88266288 is an apocalyptic number.

88266288 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 88266288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

88266288 is an abundant number, since it is smaller than the sum of its proper divisors (161717712).

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

88266288 is a wasteful number, since it uses less digits than its factorization.

88266288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 88266288 is about 9395.0139967964. The cubic root of 88266288 is about 445.2442172508.

The spelling of 88266288 in words is "eighty-eight million, two hundred sixty-six thousand, two hundred eighty-eight".