10728348977 has 8 divisors (see below), whose sum is σ = 10858746600. Its totient is φ = 10598425600.

The previous prime is 10728348973. The next prime is 10728349007. The reversal of 10728348977 is 77984382701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4493825296 + 6234523681 = 67036^2 + 78959^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10728348977 - 2² = 10728348973 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10728348973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72938 + ... + 163635.

It is an arithmetic number, because the mean of its divisors is an integer number (1357343325).

Almost surely, 2^10728348977 is an apocalyptic number.

It is an amenable number.

10728348977 is a deficient number, since it is larger than the sum of its proper divisors (130397623).

10728348977 is a wasteful number, since it uses less digits than its factorization.

10728348977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237123.

The product of its (nonzero) digits is 4741632, while the sum is 56.

The spelling of 10728348977 in words is "ten billion, seven hundred twenty-eight million, three hundred forty-eight thousand, nine hundred seventy-seven".