10728800 has 36 divisors (see below), whose sum is σ = 26193636. Its totient is φ = 4291200.

The previous prime is 10728799. The next prime is 10728827. The reversal of 10728800 is 882701.

It is a self number, because there is not a number n which added to its sum of digits gives 10728800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5906 + ... + 7505.

It is an arithmetic number, because the mean of its divisors is an integer number (727601).

Almost surely, 2^10728800 is an apocalyptic number.

10728800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10728800 is an abundant number, since it is smaller than the sum of its proper divisors (15464836).

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

10728800 is a wasteful number, since it uses less digits than its factorization.

10728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13431 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 10728800 is about 3275.4846969571. The cubic root of 10728800 is about 220.5550721736. Note that the first 3 decimals are identical.

The spelling of 10728800 in words is "ten million, seven hundred twenty-eight thousand, eight hundred".