19268928 has 196 divisors, whose sum is σ = 66629280. Its totient is φ = 5412096.

The previous prime is 19268923. The next prime is 19268929. The reversal of 19268928 is 82986291.

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

Its product of digits (124416) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19268923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326563 + ... + 326621.

Almost surely, 2^19268928 is an apocalyptic number.

19268928 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 19268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33314640).

19268928 is an abundant number, since it is smaller than the sum of its proper divisors (47360352).

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

19268928 is an frugal number, since it uses more digits than its factorization.

19268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 19268928 is about 4389.6387095067. The cubic root of 19268928 is about 268.0932325804.

The spelling of 19268928 in words is "nineteen million, two hundred sixty-eight thousand, nine hundred twenty-eight".