82444428 has 72 divisors (see below), whose sum is σ = 231141456. Its totient is φ = 24566400.

The previous prime is 82444423. The next prime is 82444447.

82444428 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 82444392 and 82444401.

It is not an unprimeable number, because it can be changed into a prime (82444421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22450 + ... + 25862.

It is an arithmetic number, because the mean of its divisors is an integer number (3210298).

Almost surely, 2^82444428 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 82444428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115570728).

82444428 is an abundant number, since it is smaller than the sum of its proper divisors (148697028).

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

82444428 is a wasteful number, since it uses less digits than its factorization.

82444428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3490 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 82444428 is about 9079.8914090423. The cubic root of 82444428 is about 435.2316166454.

The spelling of 82444428 in words is "eighty-two million, four hundred forty-four thousand, four hundred twenty-eight".