1328765328 has 120 divisors (see below), whose sum is σ = 4065799296. Its totient is φ = 401760000.

The previous prime is 1328765327. The next prime is 1328765353. The reversal of 1328765328 is 8235678231.

1328765328 is a `hidden beast` number, since 1 + 32 + 87 + 6 + 532 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1328765327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189026 + ... + 1190142.

Almost surely, 2^1328765328 is an apocalyptic number.

1328765328 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 1328765328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032899648).

1328765328 is an abundant number, since it is smaller than the sum of its proper divisors (2737033968).

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

1328765328 is a wasteful number, since it uses less digits than its factorization.

1328765328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1884 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1328765328 is about 36452.2335118165. The cubic root of 1328765328 is about 1099.3840430314.

The spelling of 1328765328 in words is "one billion, three hundred twenty-eight million, seven hundred sixty-five thousand, three hundred twenty-eight".