82888288 has 96 divisors (see below), whose sum is σ = 195580224. Its totient is φ = 33841152.

The previous prime is 82888259. The next prime is 82888291. The reversal of 82888288 is 88288828.

It is a happy number.

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

Its product of digits (1048576) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

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, 604956 + ... + 605092.

It is an arithmetic number, because the mean of its divisors is an integer number (2037294).

Almost surely, 2^82888288 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 82888288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97790112).

82888288 is an abundant number, since it is smaller than the sum of its proper divisors (112691936).

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

82888288 is a wasteful number, since it uses less digits than its factorization.

82888288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 52.

The square root of 82888288 is about 9104.3005222807. The cubic root of 82888288 is about 436.0112782202.

The spelling of 82888288 in words is "eighty-two million, eight hundred eighty-eight thousand, two hundred eighty-eight".