1328545240 has 128 divisors (see below), whose sum is σ = 3527193600. Its totient is φ = 444897280.

The previous prime is 1328545237. The next prime is 1328545241. The reversal of 1328545240 is 425458231.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1328545196 and 1328545205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328545241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349671 + ... + 353449.

It is an arithmetic number, because the mean of its divisors is an integer number (27556200).

Almost surely, 2^1328545240 is an apocalyptic number.

1328545240 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 1328545240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763596800).

1328545240 is an abundant number, since it is smaller than the sum of its proper divisors (2198648360).

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

1328545240 is a wasteful number, since it uses less digits than its factorization.

1328545240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 1328545240 is about 36449.2145320033. The cubic root of 1328545240 is about 1099.3233414185.

The spelling of 1328545240 in words is "one billion, three hundred twenty-eight million, five hundred forty-five thousand, two hundred forty".