88228 has 24 divisors (see below), whose sum is σ = 185472. Its totient is φ = 35904.

The previous prime is 88223. The next prime is 88237. The reversal of 88228 is 82288.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 88196 and 88205.

It is not an unprimeable number, because it can be changed into a prime (88223) by changing a digit.

88228 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 7 ways as a sum of consecutive naturals, for example, 576 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

2⁸⁸²²⁸ 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 88228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736).

88228 is an abundant number, since it is smaller than the sum of its proper divisors (97244).

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

88228 is a wasteful number, since it uses less digits than its factorization.

88228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 88228 is about 297.0319848097. The cubic root of 88228 is about 44.5179828847.

The spelling of 88228 in words is "eighty-eight thousand, two hundred twenty-eight".