82388328 has 64 divisors (see below), whose sum is σ = 231966720. Its totient is φ = 24158400.

The previous prime is 82388291. The next prime is 82388347.

82388328 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82388328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151 + ... + 13217.

It is an arithmetic number, because the mean of its divisors is an integer number (3624480).

Almost surely, 2^82388328 is an apocalyptic number.

82388328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82388328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115983360).

82388328 is an abundant number, since it is smaller than the sum of its proper divisors (149578392).

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

82388328 is a wasteful number, since it uses less digits than its factorization.

82388328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10114 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 82388328 is about 9076.8016393441. The cubic root of 82388328 is about 435.1328752487.

The spelling of 82388328 in words is "eighty-two million, three hundred eighty-eight thousand, three hundred twenty-eight".