1328291328 has 480 divisors, whose sum is σ = 4744624896. Its totient is φ = 322043904.

The previous prime is 1328291303. The next prime is 1328291329. The reversal of 1328291328 is 8231928231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328291329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30890475 + ... + 30890517.

Almost surely, 2^1328291328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372312448).

1328291328 is an abundant number, since it is smaller than the sum of its proper divisors (3416333568).

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

1328291328 is a wasteful number, since it uses less digits than its factorization.

1328291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 1328291328 is about 36445.7312726744. The cubic root of 1328291328 is about 1099.2533026111.

The spelling of 1328291328 in words is "one billion, three hundred twenty-eight million, two hundred ninety-one thousand, three hundred twenty-eight".