1328534240 has 96 divisors (see below), whose sum is σ = 3447360000. Its totient is φ = 479808000.

The previous prime is 1328534237. The next prime is 1328534261. The reversal of 1328534240 is 424358231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1328534197 and 1328534206.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 263261 + ... + 268259.

It is an arithmetic number, because the mean of its divisors is an integer number (35910000).

Almost surely, 2^1328534240 is an apocalyptic number.

1328534240 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 1328534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680000).

1328534240 is an abundant number, since it is smaller than the sum of its proper divisors (2118825760).

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

1328534240 is a wasteful number, since it uses less digits than its factorization.

1328534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 1328534240 is about 36449.0636368069. The cubic root of 1328534240 is about 1099.3203073755.

The spelling of 1328534240 in words is "one billion, three hundred twenty-eight million, five hundred thirty-four thousand, two hundred forty".