4628728496705 has 8 divisors (see below), whose sum is σ = 5881207972392. Its totient is φ = 3485160279808.

The previous prime is 4628728496669. The next prime is 4628728496731. The reversal of 4628728496705 is 5076948278264.

It is a Cunningham number, because it is equal to 2151448²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 108269953936 + 4520458542769 = 329044^2 + 2126137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4628728496705 - 2⁶ = 4628728496641 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27227814602 + ... + 27227814771.

It is an arithmetic number, because the mean of its divisors is an integer number (735150996549).

Almost surely, 2^{4628728496705} is an apocalyptic number.

It is an amenable number.

4628728496705 is a deficient number, since it is larger than the sum of its proper divisors (1252479475687).

4628728496705 is a wasteful number, since it uses less digits than its factorization.

4628728496705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54455629395.

The product of its (nonzero) digits is 325140480, while the sum is 68.

The spelling of 4628728496705 in words is "four trillion, six hundred twenty-eight billion, seven hundred twenty-eight million, four hundred ninety-six thousand, seven hundred five".