1328348140 has 192 divisors, whose sum is σ = 3522355200. Its totient is φ = 410572800.

The previous prime is 1328348113. The next prime is 1328348173. The reversal of 1328348140 is 418438231.

It is a junction number, because it is equal to n+sod(n) for n = 1328348096 and 1328348105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7338850 + ... + 7339030.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^1328348140 is an apocalyptic number.

1328348140 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 1328348140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

1328348140 is an abundant number, since it is smaller than the sum of its proper divisors (2194007060).

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

1328348140 is a wasteful number, since it uses less digits than its factorization.

1328348140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1328348140 is about 36446.5106697472. The cubic root of 1328348140 is about 1099.2689743459.

Subtracting from 1328348140 its reverse (418438231), we obtain a palindrome (909909909).

The spelling of 1328348140 in words is "one billion, three hundred twenty-eight million, three hundred forty-eight thousand, one hundred forty".