82433428 has 72 divisors (see below), whose sum is σ = 187689600. Its totient is φ = 30972480.

The previous prime is 82433401. The next prime is 82433431.

82433428 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82433393 and 82433402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97833 + ... + 98671.

It is an arithmetic number, because the mean of its divisors is an integer number (2606800).

Almost surely, 2^82433428 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 82433428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844800).

82433428 is an abundant number, since it is smaller than the sum of its proper divisors (105256172).

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

82433428 is a wasteful number, since it uses less digits than its factorization.

82433428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 888 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 82433428 is about 9079.2856547198. The cubic root of 82433428 is about 435.2122591184.

The spelling of 82433428 in words is "eighty-two million, four hundred thirty-three thousand, four hundred twenty-eight".