10928611600 has 45 divisors (see below), whose sum is σ = 26261013477. Its totient is φ = 4370608320.

The previous prime is 10928611579. The next prime is 10928611609. The reversal of 10928611600 is 611682901.

The square root of 10928611600 is 104540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3934300176 + 6994311424 = 62724^2 + 83632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10928611609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2088187 + ... + 2093413.

Almost surely, 2^10928611600 is an apocalyptic number.

10928611600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10928611600 is the 104540-th square number.

It is an amenable number.

10928611600 is an abundant number, since it is smaller than the sum of its proper divisors (15332401877).

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

10928611600 is an frugal number, since it uses more digits than its factorization.

10928611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

Multiplying 10928611600 by its product of nonzero digits (5184), we get a square (56653922534400 = 7526880²).

The spelling of 10928611600 in words is "ten billion, nine hundred twenty-eight million, six hundred eleven thousand, six hundred".