10728906000 has 80 divisors (see below), whose sum is σ = 34590012288. Its totient is φ = 2861040000.

The previous prime is 10728905983. The next prime is 10728906007. The reversal of 10728906000 is 60982701.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10728906007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888076 + ... + 900075.

Almost surely, 2^10728906000 is an apocalyptic number.

10728906000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10728906000 is an abundant number, since it is smaller than the sum of its proper divisors (23861106288).

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

10728906000 is a wasteful number, since it uses less digits than its factorization.

10728906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788177 (or 1788161 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10728906000 in words is "ten billion, seven hundred twenty-eight million, nine hundred six thousand".