10900309728 has 192 divisors, whose sum is σ = 37551790080. Its totient is φ = 2682201600.

The previous prime is 10900309711. The next prime is 10900309729. The reversal of 10900309728 is 82790300901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10900309729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101643 + ... + 179253.

It is an arithmetic number, because the mean of its divisors is an integer number (195582240).

Almost surely, 2^10900309728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10900309728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775895040).

10900309728 is an abundant number, since it is smaller than the sum of its proper divisors (26651480352).

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

10900309728 is a wasteful number, since it uses less digits than its factorization.

10900309728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77661 (or 77653 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 10900309728 in words is "ten billion, nine hundred million, three hundred nine thousand, seven hundred twenty-eight".