82228432 has 80 divisors (see below), whose sum is σ = 189862848. Its totient is φ = 34007040.

The previous prime is 82228429. The next prime is 82228453. The reversal of 82228432 is 23482228.

It is a junction number, because it is equal to n+sod(n) for n = 82228394 and 82228403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189688 + ... + 190120.

Almost surely, 2^82228432 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 82228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94931424).

82228432 is an abundant number, since it is smaller than the sum of its proper divisors (107634416).

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

82228432 is a wasteful number, since it uses less digits than its factorization.

82228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 82228432 is about 9067.9894133154. The cubic root of 82228432 is about 434.8511967366.

The spelling of 82228432 in words is "eighty-two million, two hundred twenty-eight thousand, four hundred thirty-two".