88101288 has 96 divisors (see below), whose sum is σ = 262211040. Its totient is φ = 26501760.

The previous prime is 88101269. The next prime is 88101289. The reversal of 88101288 is 88210188.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88101289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136695 + ... + 137337.

It is an arithmetic number, because the mean of its divisors is an integer number (2731365).

Almost surely, 2^88101288 is an apocalyptic number.

88101288 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 88101288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131105520).

88101288 is an abundant number, since it is smaller than the sum of its proper divisors (174109752).

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

88101288 is a wasteful number, since it uses less digits than its factorization.

88101288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 88101288 is about 9386.2286356129. The cubic root of 88101288 is about 444.9666060873.

Subtracting 88101288 from its reverse (88210188), we obtain a square (108900 = 330²).

The spelling of 88101288 in words is "eighty-eight million, one hundred one thousand, two hundred eighty-eight".