82188288 has 288 divisors, whose sum is σ = 298116000. Its totient is φ = 21676032.

The previous prime is 82188283. The next prime is 82188307. The reversal of 82188288 is 88288128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82188283) 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, 6322170 + ... + 6322182.

It is an arithmetic number, because the mean of its divisors is an integer number (1035125).

Almost surely, 2^82188288 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 82188288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149058000).

82188288 is an abundant number, since it is smaller than the sum of its proper divisors (215927712).

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

82188288 is a wasteful number, since it uses less digits than its factorization.

82188288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The square root of 82188288 is about 9065.7756424919. The cubic root of 82188288 is about 434.7804202928.

The spelling of 82188288 in words is "eighty-two million, one hundred eighty-eight thousand, two hundred eighty-eight".