82280448 has 160 divisors (see below), whose sum is σ = 253751520. Its totient is φ = 26542080.

The previous prime is 82280441. The next prime is 82280461. The reversal of 82280448 is 84408228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82280441) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654193 + ... + 2654223.

It is an arithmetic number, because the mean of its divisors is an integer number (1585947).

Almost surely, 2^82280448 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 82280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126875760).

82280448 is an abundant number, since it is smaller than the sum of its proper divisors (171471072).

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

82280448 is an frugal number, since it uses more digits than its factorization.

82280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 82280448 is about 9070.8570708616. The cubic root of 82280448 is about 434.9428700240.

It can be divided in two parts, 82280 and 448, that added together give a palindrome (82728).

The spelling of 82280448 in words is "eighty-two million, two hundred eighty thousand, four hundred forty-eight".