16728800 has 72 divisors (see below), whose sum is σ = 44575272. Its totient is φ = 6080000.

The previous prime is 16728793. The next prime is 16728827. The reversal of 16728800 is 882761.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7850 + ... + 9750.

It is an arithmetic number, because the mean of its divisors is an integer number (619101).

Almost surely, 2^16728800 is an apocalyptic number.

16728800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22287636).

16728800 is an abundant number, since it is smaller than the sum of its proper divisors (27846472).

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

16728800 is a wasteful number, since it uses less digits than its factorization.

16728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 16728800 is about 4090.0855736769. The cubic root of 16728800 is about 255.7535062252.

The spelling of 16728800 in words is "sixteen million, seven hundred twenty-eight thousand, eight hundred".