82833828 has 96 divisors (see below), whose sum is σ = 242930688. Its totient is φ = 21340800.

The previous prime is 82833827. The next prime is 82833841.

82833828 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82833828² = 13722886122267168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 82833828.

It is not an unprimeable number, because it can be changed into a prime (82833823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144783 + ... + 145353.

It is an arithmetic number, because the mean of its divisors is an integer number (2530528).

Almost surely, 2^82833828 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 82833828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121465344).

82833828 is an abundant number, since it is smaller than the sum of its proper divisors (160096860).

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

82833828 is a wasteful number, since it uses less digits than its factorization.

82833828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 751 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 82833828 is about 9101.3091366023. The cubic root of 82833828 is about 435.9157666302.

The spelling of 82833828 in words is "eighty-two million, eight hundred thirty-three thousand, eight hundred twenty-eight".