16428160 has 128 divisors (see below), whose sum is σ = 47491200. Its totient is φ = 5308416.

The previous prime is 16428157. The next prime is 16428161. The reversal of 16428160 is 6182461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16428161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 85024 + ... + 85216.

It is an arithmetic number, because the mean of its divisors is an integer number (371025).

Almost surely, 2^16428160 is an apocalyptic number.

16428160 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 16428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745600).

16428160 is an abundant number, since it is smaller than the sum of its proper divisors (31063040).

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

16428160 is a wasteful number, since it uses less digits than its factorization.

16428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 16428160 is about 4053.1666632400. The cubic root of 16428160 is about 254.2121525091.

The spelling of 16428160 in words is "sixteen million, four hundred twenty-eight thousand, one hundred sixty".