82438200 has 216 divisors, whose sum is σ = 300895920. Its totient is φ = 20217600.

The previous prime is 82438199. The next prime is 82438217. The reversal of 82438200 is 283428.

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 53 ways as a sum of consecutive naturals, for example, 304065 + ... + 304335.

Almost surely, 2^82438200 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 82438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150447960).

82438200 is an abundant number, since it is smaller than the sum of its proper divisors (218457720).

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

82438200 is a wasteful number, since it uses less digits than its factorization.

82438200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82438200 is about 9079.5484469218. The cubic root of 82438200 is about 435.2206569771.

The spelling of 82438200 in words is "eighty-two million, four hundred thirty-eight thousand, two hundred".