16748928 has 192 divisors, whose sum is σ = 57707520. Its totient is φ = 4561920.

The previous prime is 16748911. The next prime is 16748929. The reversal of 16748928 is 82984761.

16748928 is a `hidden beast` number, since 167 + 489 + 2 + 8 = 666.

16748928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16748929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249951 + ... + 250017.

It is an arithmetic number, because the mean of its divisors is an integer number (300560).

Almost surely, 2^16748928 is an apocalyptic number.

16748928 is a gapful number since it is divisible by the number (18) 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 16748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28853760).

16748928 is an abundant number, since it is smaller than the sum of its proper divisors (40958592).

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

16748928 is a wasteful number, since it uses less digits than its factorization.

16748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 16748928 is about 4092.5454181964. The cubic root of 16748928 is about 255.8560388505.

The spelling of 16748928 in words is "sixteen million, seven hundred forty-eight thousand, nine hundred twenty-eight".