82886388 has 72 divisors (see below), whose sum is σ = 218651328. Its totient is φ = 24380928.

The previous prime is 82886387. The next prime is 82886389. The reversal of 82886388 is 88368828.

It is an interprime number because it is at equal distance from previous prime (82886387) and next prime (82886389).

It is a self number, because there is not a number n which added to its sum of digits gives 82886388.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82886387) 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, 45756 + ... + 47532.

It is an arithmetic number, because the mean of its divisors is an integer number (3036824).

Almost surely, 2^82886388 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 82886388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109325664).

82886388 is an abundant number, since it is smaller than the sum of its proper divisors (135764940).

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

82886388 is a wasteful number, since it uses less digits than its factorization.

82886388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1818 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The square root of 82886388 is about 9104.1961753908. The cubic root of 82886388 is about 436.0079467171.

The spelling of 82886388 in words is "eighty-two million, eight hundred eighty-six thousand, three hundred eighty-eight".