82830528 has 168 divisors, whose sum is σ = 274594320. Its totient is φ = 23592960.

The previous prime is 82830499. The next prime is 82830533. The reversal of 82830528 is 82503828.

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 = 82830492 and 82830501.

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, 107328 + ... + 108096.

It is an arithmetic number, because the mean of its divisors is an integer number (1634490).

Almost surely, 2^82830528 is an apocalyptic number.

82830528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137297160).

82830528 is an abundant number, since it is smaller than the sum of its proper divisors (191763792).

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

82830528 is a wasteful number, since it uses less digits than its factorization.

82830528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 82830528 is about 9101.1278421963. The cubic root of 82830528 is about 435.9099777668.

The spelling of 82830528 in words is "eighty-two million, eight hundred thirty thousand, five hundred twenty-eight".