16173828 has 108 divisors (see below), whose sum is σ = 46475520. Its totient is φ = 4736160.

The previous prime is 16173823. The next prime is 16173863. The reversal of 16173828 is 82837161.

16173828 is a `hidden beast` number, since 1 + 617 + 38 + 2 + 8 = 666.

16173828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

16173828 is a nontrivial binomial coefficient, being equal to C(5688, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 16173792 and 16173801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16173823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204693 + ... + 204771.

Almost surely, 2^16173828 is an apocalyptic number.

16173828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

16173828 is the 5687-th triangular number and also the 2844-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16173828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237760).

16173828 is an abundant number, since it is smaller than the sum of its proper divisors (30301692).

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

16173828 is a wasteful number, since it uses less digits than its factorization.

16173828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 16173828 is about 4021.6698024577. The cubic root of 16173828 is about 252.8934649126.

It can be divided in two parts, 1617 and 3828, that added together give a palindrome (5445).

The spelling of 16173828 in words is "sixteen million, one hundred seventy-three thousand, eight hundred twenty-eight".