1327480128 has 168 divisors, whose sum is σ = 4125849000. Its totient is φ = 408066048.

The previous prime is 1327480111. The next prime is 1327480129. The reversal of 1327480128 is 8210847231.

It can be written as a sum of positive squares in 4 ways, for example, as 154554624 + 1172925504 = 12432^2 + 34248^2 .

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 = 1327480092 and 1327480101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327480129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264948 + ... + 1265996.

It is an arithmetic number, because the mean of its divisors is an integer number (24558625).

Almost surely, 2^1327480128 is an apocalyptic number.

1327480128 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 1327480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062924500).

1327480128 is an abundant number, since it is smaller than the sum of its proper divisors (2798368872).

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

1327480128 is a wasteful number, since it uses less digits than its factorization.

1327480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1327480128 is about 36434.6006976885. The cubic root of 1327480128 is about 1099.0294822669.

The spelling of 1327480128 in words is "one billion, three hundred twenty-seven million, four hundred eighty thousand, one hundred twenty-eight".