16628400 has 180 divisors, whose sum is σ = 59966400. Its totient is φ = 4262400.

The previous prime is 16628399. The next prime is 16628461. The reversal of 16628400 is 482661.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111526 + ... + 111674.

Almost surely, 2^16628400 is an apocalyptic number.

16628400 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 16628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29983200).

16628400 is an abundant number, since it is smaller than the sum of its proper divisors (43338000).

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

16628400 is a wasteful number, since it uses less digits than its factorization.

16628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16628400 is about 4077.7935210111. The cubic root of 16628400 is about 255.2408336045.

The spelling of 16628400 in words is "sixteen million, six hundred twenty-eight thousand, four hundred".