16728440 has 64 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 6386688.

The previous prime is 16728433. The next prime is 16728449. The reversal of 16728440 is 4482761.

16728440 = 1015² + 1016² + ... + 1030².

It is a junction number, because it is equal to n+sod(n) for n = 16728397 and 16728406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16728449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131657 + ... + 131783.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 2^16728440 is an apocalyptic number.

16728440 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 16728440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

16728440 is an abundant number, since it is smaller than the sum of its proper divisors (22669960).

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

16728440 is a wasteful number, since it uses less digits than its factorization.

16728440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 16728440 is about 4090.0415645810. The cubic root of 16728440 is about 255.7516716261.

The spelling of 16728440 in words is "sixteen million, seven hundred twenty-eight thousand, four hundred forty".