16309728 has 96 divisors (see below), whose sum is σ = 48787200. Its totient is φ = 5298048.

The previous prime is 16309697. The next prime is 16309757. The reversal of 16309728 is 82790361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 16309692 and 16309701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36933 + ... + 37371.

It is an arithmetic number, because the mean of its divisors is an integer number (508200).

Almost surely, 2^16309728 is an apocalyptic number.

16309728 is a gapful number since it is divisible by the number (18) 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 16309728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393600).

16309728 is an abundant number, since it is smaller than the sum of its proper divisors (32477472).

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

16309728 is a wasteful number, since it uses less digits than its factorization.

16309728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16309728 is about 4038.5304257861. The cubic root of 16309728 is about 253.5997996462.

The spelling of 16309728 in words is "sixteen million, three hundred nine thousand, seven hundred twenty-eight".