16428132 has 108 divisors (see below), whose sum is σ = 49380240. Its totient is φ = 4590432.

The previous prime is 16428119. The next prime is 16428133. The reversal of 16428132 is 23182461.

16428132 is a `hidden beast` number, since 1 + 642 + 8 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16428096 and 16428105.

It is not an unprimeable number, because it can be changed into a prime (16428133) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 118119 + ... + 118257.

Almost surely, 2^16428132 is an apocalyptic number.

16428132 is a gapful number since it is divisible by the number (12) 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 16428132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24690120).

16428132 is an abundant number, since it is smaller than the sum of its proper divisors (32952108).

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

16428132 is a wasteful number, since it uses less digits than its factorization.

16428132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

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

The square root of 16428132 is about 4053.1632091491. The cubic root of 16428132 is about 254.2120080834.

The spelling of 16428132 in words is "sixteen million, four hundred twenty-eight thousand, one hundred thirty-two".