82389888 has 192 divisors, whose sum is σ = 287370720. Its totient is φ = 22118400.

The previous prime is 82389863. The next prime is 82389889. The reversal of 82389888 is 88898328.

It is a tau number, because it is divible by the number of its divisors (192).

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 (82389889) 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 23 ways as a sum of consecutive naturals, for example, 136788 + ... + 137388.

Almost surely, 2^82389888 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 82389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143685360).

82389888 is an abundant number, since it is smaller than the sum of its proper divisors (204980832).

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

82389888 is a wasteful number, since it uses less digits than its factorization.

82389888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 82389888 is about 9076.8875722904. The cubic root of 82389888 is about 435.1356216045.

The spelling of 82389888 in words is "eighty-two million, three hundred eighty-nine thousand, eight hundred eighty-eight".