1328733120 has 224 divisors, whose sum is σ = 4956779520. Its totient is φ = 297308160.

The previous prime is 1328733101. The next prime is 1328733181. The reversal of 1328733120 is 213378231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132441 + ... + 142119.

It is an arithmetic number, because the mean of its divisors is an integer number (22128480).

Almost surely, 2^1328733120 is an apocalyptic number.

1328733120 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 1328733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478389760).

1328733120 is an abundant number, since it is smaller than the sum of its proper divisors (3628046400).

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

1328733120 is a wasteful number, since it uses less digits than its factorization.

1328733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1328733120 is about 36451.7917255106. The cubic root of 1328733120 is about 1099.3751602872.

The spelling of 1328733120 in words is "one billion, three hundred twenty-eight million, seven hundred thirty-three thousand, one hundred twenty".