1328358720 has 224 divisors, whose sum is σ = 4576828032. Its totient is φ = 324476928.

The previous prime is 1328358677. The next prime is 1328358737. The reversal of 1328358720 is 278538231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033914 + ... + 2034566.

It is an arithmetic number, because the mean of its divisors is an integer number (20432268).

Almost surely, 2^1328358720 is an apocalyptic number.

1328358720 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 1328358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288414016).

1328358720 is an abundant number, since it is smaller than the sum of its proper divisors (3248469312).

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

1328358720 is a wasteful number, since it uses less digits than its factorization.

1328358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1328358720 is about 36446.6558136683. The cubic root of 1328358720 is about 1099.2718928165.

The spelling of 1328358720 in words is "one billion, three hundred twenty-eight million, three hundred fifty-eight thousand, seven hundred twenty".