82832448 has 112 divisors (see below), whose sum is σ = 228884480. Its totient is φ = 26417664.

The previous prime is 82832447. The next prime is 82832461. The reversal of 82832448 is 84423828.

It is a super-2 number, since 2×82832448² = 13722428883345408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82832441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652161 + ... + 652287.

Almost surely, 2^82832448 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 82832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114442240).

82832448 is an abundant number, since it is smaller than the sum of its proper divisors (146052032).

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

82832448 is a wasteful number, since it uses less digits than its factorization.

82832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 82832448 is about 9101.2333230173. The cubic root of 82832448 is about 435.9133458515.

It can be divided in two parts, 8283 and 2448, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 82832448 in words is "eighty-two million, eight hundred thirty-two thousand, four hundred forty-eight".