82824811842828 has 96 divisors (see below), whose sum is σ = 211547799429120. Its totient is φ = 25012682309440.

The previous prime is 82824811842827. The next prime is 82824811842863.

82824811842828 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82824811842828² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (82824811842827) 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, 74463151 + ... + 75567257.

It is an arithmetic number, because the mean of its divisors is an integer number (2203622910720).

Almost surely, 2^{82824811842828} is an apocalyptic number.

It is an amenable number.

82824811842828 is an abundant number, since it is smaller than the sum of its proper divisors (128722987586292).

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

82824811842828 is a wasteful number, since it uses less digits than its factorization.

82824811842828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106067 (or 1106065 counting only the distinct ones).

The product of its digits is 67108864, while the sum is 66.

The spelling of 82824811842828 in words is "eighty-two trillion, eight hundred twenty-four billion, eight hundred eleven million, eight hundred forty-two thousand, eight hundred twenty-eight".