82488648 has 64 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 24833600.

The previous prime is 82488647. The next prime is 82488677. The reversal of 82488648 is 84688428.

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

It is a junction number, because it is equal to n+sod(n) for n = 82488597 and 82488606.

It is not an unprimeable number, because it can be changed into a prime (82488643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43153 + ... + 45023.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^82488648 is an apocalyptic number.

82488648 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 82488648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

82488648 is an abundant number, since it is smaller than the sum of its proper divisors (143948472).

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

82488648 is a wasteful number, since it uses less digits than its factorization.

82488648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2054 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 82488648 is about 9082.3261337611. The cubic root of 82488648 is about 435.3094165350.

The spelling of 82488648 in words is "eighty-two million, four hundred eighty-eight thousand, six hundred forty-eight".