28638083682 has 64 divisors (see below), whose sum is σ = 68557104000. Its totient is φ = 8808951744.

The previous prime is 28638083647. The next prime is 28638083713.

28638083682 is nontrivially palindromic in base 10.

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

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, 4165744 + ... + 4172612.

It is an arithmetic number, because the mean of its divisors is an integer number (1071204750).

Almost surely, 2^28638083682 is an apocalyptic number.

28638083682 is an abundant number, since it is smaller than the sum of its proper divisors (39919020318).

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

28638083682 is a wasteful number, since it uses less digits than its factorization.

28638083682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12832 (or 12826 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 28638083682 in words is "twenty-eight billion, six hundred thirty-eight million, eighty-three thousand, six hundred eighty-two".