82035828 has 84 divisors (see below), whose sum is σ = 246056160. Its totient is φ = 23432976.

The previous prime is 82035823. The next prime is 82035847. The reversal of 82035828 is 82853028.

It is a tau number, because it is divible by the number of its divisors (84).

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 = 82035792 and 82035801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82035823) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 18403 + ... + 22421.

It is an arithmetic number, because the mean of its divisors is an integer number (2929240).

Almost surely, 2^82035828 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 82035828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123028080).

82035828 is an abundant number, since it is smaller than the sum of its proper divisors (164020332).

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

82035828 is a wasteful number, since it uses less digits than its factorization.

82035828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4031 counting only the distinct ones).

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

The square root of 82035828 is about 9057.3631924529. The cubic root of 82035828 is about 434.5114133811.

The spelling of 82035828 in words is "eighty-two million, thirty-five thousand, eight hundred twenty-eight".