82830422403828 has 96 divisors (see below), whose sum is σ = 235953242112000. Its totient is φ = 24919551491040.

The previous prime is 82830422403793. The next prime is 82830422403863.

82830422403828 is a `hidden beast` number, since 8 + 2 + 8 + 30 + 4 + 224 + 0 + 382 + 8 = 666.

82830422403828 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82830422403793) and next prime (82830422403863).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250635508 + ... + 250965771.

It is an arithmetic number, because the mean of its divisors is an integer number (2457846272000).

Almost surely, 2^{82830422403828} is an apocalyptic number.

It is an amenable number.

82830422403828 is an abundant number, since it is smaller than the sum of its proper divisors (153122819708172).

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

82830422403828 is a wasteful number, since it uses less digits than its factorization.

82830422403828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501601442 (or 501601434 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 82830422403828 in words is "eighty-two trillion, eight hundred thirty billion, four hundred twenty-two million, four hundred three thousand, eight hundred twenty-eight".