82541928 has 96 divisors (see below), whose sum is σ = 249082560. Its totient is φ = 22325760.

The previous prime is 82541891. The next prime is 82541929. The reversal of 82541928 is 82914528.

It is not an unprimeable number, because it can be changed into a prime (82541929) 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, 59968 + ... + 61328.

It is an arithmetic number, because the mean of its divisors is an integer number (2594610).

Almost surely, 2^82541928 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 82541928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124541280).

82541928 is an abundant number, since it is smaller than the sum of its proper divisors (166540632).

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

82541928 is a wasteful number, since it uses less digits than its factorization.

82541928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1392 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 82541928 is about 9085.2588295546. The cubic root of 82541928 is about 435.4031195050.

The spelling of 82541928 in words is "eighty-two million, five hundred forty-one thousand, nine hundred twenty-eight".