82024448 has 72 divisors (see below), whose sum is σ = 180818820. Its totient is φ = 37171200.

The previous prime is 82024427. The next prime is 82024451. The reversal of 82024448 is 84442028.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247643 + ... + 247973.

Almost surely, 2^82024448 is an apocalyptic number.

82024448 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 82024448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90409410).

82024448 is an abundant number, since it is smaller than the sum of its proper divisors (98794372).

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

82024448 is a wasteful number, since it uses less digits than its factorization.

82024448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 82024448 is about 9056.7349525091. The cubic root of 82024448 is about 434.4913206620.

The spelling of 82024448 in words is "eighty-two million, twenty-four thousand, four hundred forty-eight".