28657634702753 has 32 divisors (see below), whose sum is σ = 36544168189440. Its totient is φ = 21894653721600.

The previous prime is 28657634702693. The next prime is 28657634702789. The reversal of 28657634702753 is 35720743675682.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-28657634702753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 28657634702753.

It is not an unprimeable number, because it can be changed into a prime (28657634702153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51557498 + ... + 52110371.

It is an arithmetic number, because the mean of its divisors is an integer number (1142005255920).

Almost surely, 2^{28657634702753} is an apocalyptic number.

28657634702753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

28657634702753 is a deficient number, since it is larger than the sum of its proper divisors (7886533486687).

28657634702753 is a wasteful number, since it uses less digits than its factorization.

28657634702753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103668017.

The product of its (nonzero) digits is 355622400, while the sum is 65.

The spelling of 28657634702753 in words is "twenty-eight trillion, six hundred fifty-seven billion, six hundred thirty-four million, seven hundred two thousand, seven hundred fifty-three".