82871928 has 96 divisors (see below), whose sum is σ = 234524160. Its totient is φ = 26406720.

The previous prime is 82871909. The next prime is 82871933. The reversal of 82871928 is 82917828.

It is a happy number.

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, 238651 + ... + 238997.

It is an arithmetic number, because the mean of its divisors is an integer number (2442960).

Almost surely, 2^82871928 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 82871928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117262080).

82871928 is an abundant number, since it is smaller than the sum of its proper divisors (151652232).

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

82871928 is a wasteful number, since it uses less digits than its factorization.

82871928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 82871928 is about 9103.4020014498. The cubic root of 82871928 is about 435.9825905570.

The spelling of 82871928 in words is "eighty-two million, eight hundred seventy-one thousand, nine hundred twenty-eight".