2828430348282 has 128 divisors (see below), whose sum is σ = 8177054699520. Its totient is φ = 702715590720.

The previous prime is 2828430348281. The next prime is 2828430348283.

2828430348282 is a `hidden beast` number, since 2 + 8 + 2 + 84 + 3 + 0 + 3 + 482 + 82 = 666.

2828430348282 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2828430348281) and next prime (2828430348283).

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

It is not an unprimeable number, because it can be changed into a prime (2828430348281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14692153 + ... + 14883420.

It is an arithmetic number, because the mean of its divisors is an integer number (63883239840).

Almost surely, 2^{2828430348282} is an apocalyptic number.

2828430348282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2828430348282 is an abundant number, since it is smaller than the sum of its proper divisors (5348624351238).

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

2828430348282 is a wasteful number, since it uses less digits than its factorization.

2828430348282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29575625 (or 29575619 counting only the distinct ones).

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

The spelling of 2828430348282 in words is "two trillion, eight hundred twenty-eight billion, four hundred thirty million, three hundred forty-eight thousand, two hundred eighty-two".