1328785200 has 180 divisors, whose sum is σ = 4642598688. Its totient is φ = 351936000.

The previous prime is 1328785169. The next prime is 1328785217. The reversal of 1328785200 is 25878231.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564025 + ... + 566375.

Almost surely, 2^1328785200 is an apocalyptic number.

1328785200 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 1328785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321299344).

1328785200 is an abundant number, since it is smaller than the sum of its proper divisors (3313813488).

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

1328785200 is a wasteful number, since it uses less digits than its factorization.

1328785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1328785200 is about 36452.5060866876. The cubic root of 1328785200 is about 1099.3895235202.

The spelling of 1328785200 in words is "one billion, three hundred twenty-eight million, seven hundred eighty-five thousand, two hundred".