82448088 has 64 divisors (see below), whose sum is σ = 211296000. Its totient is φ = 26801280.

The previous prime is 82448081. The next prime is 82448117. The reversal of 82448088 is 88084428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82448081) 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, 291195 + ... + 291477.

It is an arithmetic number, because the mean of its divisors is an integer number (3301500).

Almost surely, 2^82448088 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 82448088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105648000).

82448088 is an abundant number, since it is smaller than the sum of its proper divisors (128847912).

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

82448088 is a wasteful number, since it uses less digits than its factorization.

82448088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 82448088 is about 9080.0929510661. The cubic root of 82448088 is about 435.2380570408.

The spelling of 82448088 in words is "eighty-two million, four hundred forty-eight thousand, eighty-eight".