82092528 has 100 divisors (see below), whose sum is σ = 271572400. Its totient is φ = 23452416.

The previous prime is 82092523. The next prime is 82092581. The reversal of 82092528 is 82529028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82092492 and 82092501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82092523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4548 + ... + 13596.

It is an arithmetic number, because the mean of its divisors is an integer number (2715724).

Almost surely, 2^82092528 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 82092528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135786200).

82092528 is an abundant number, since it is smaller than the sum of its proper divisors (189479872).

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

82092528 is a wasteful number, since it uses less digits than its factorization.

82092528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82092528 is about 9060.4927018347. The cubic root of 82092528 is about 434.6114961698.

The spelling of 82092528 in words is "eighty-two million, ninety-two thousand, five hundred twenty-eight".