1328745600 has 768 divisors, whose sum is σ = 6020448000. Its totient is φ = 280350720.

The previous prime is 1328745599. The next prime is 1328745611. The reversal of 1328745600 is 65478231.

1328745600 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 7 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102211194 + ... + 102211206.

It is an arithmetic number, because the mean of its divisors is an integer number (7839125).

Almost surely, 2^1328745600 is an apocalyptic number.

1328745600 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 1328745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010224000).

1328745600 is an abundant number, since it is smaller than the sum of its proper divisors (4691702400).

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

1328745600 is an equidigital number, since it uses as much as digits as its factorization.

1328745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1328745600 is about 36451.9629101095. The cubic root of 1328745600 is about 1099.3786022021.

The spelling of 1328745600 in words is "one billion, three hundred twenty-eight million, seven hundred forty-five thousand, six hundred".