19481328 has 60 divisors (see below), whose sum is σ = 55468920. Its totient is φ = 6380928.

The previous prime is 19481311. The next prime is 19481333. The reversal of 19481328 is 82318491.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 19481292 and 19481301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7350 + ... + 9642.

It is an arithmetic number, because the mean of its divisors is an integer number (924482).

Almost surely, 2^19481328 is an apocalyptic number.

19481328 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 19481328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734460).

19481328 is an abundant number, since it is smaller than the sum of its proper divisors (35987592).

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

19481328 is a wasteful number, since it uses less digits than its factorization.

19481328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2357 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 19481328 is about 4413.7657391393. The cubic root of 19481328 is about 269.0746926168.

The spelling of 19481328 in words is "nineteen million, four hundred eighty-one thousand, three hundred twenty-eight".