19428320 has 48 divisors (see below), whose sum is σ = 47392128. Its totient is φ = 7518720.

The previous prime is 19428319. The next prime is 19428323. The reversal of 19428320 is 2382491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19428323) 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 7 ways as a sum of consecutive naturals, for example, 3002 + ... + 6918.

It is an arithmetic number, because the mean of its divisors is an integer number (987336).

Almost surely, 2^19428320 is an apocalyptic number.

19428320 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 19428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696064).

19428320 is an abundant number, since it is smaller than the sum of its proper divisors (27963808).

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

19428320 is a wasteful number, since it uses less digits than its factorization.

19428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 19428320 is about 4407.7567990986. The cubic root of 19428320 is about 268.8304233800.

The spelling of 19428320 in words is "nineteen million, four hundred twenty-eight thousand, three hundred twenty".