1328947200 has 504 divisors, whose sum is σ = 5493154368. Its totient is φ = 300810240.

The previous prime is 1328947189. The next prime is 1328947201. The reversal of 1328947200 is 27498231.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1328947200² = 3532201320775680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1328947201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12902349 + ... + 12902451.

Almost surely, 2^1328947200 is an apocalyptic number.

1328947200 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 1328947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746577184).

1328947200 is an abundant number, since it is smaller than the sum of its proper divisors (4164207168).

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

1328947200 is a wasteful number, since it uses less digits than its factorization.

1328947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1328947200 is about 36454.7280884112. The cubic root of 1328947200 is about 1099.4341993804.

The spelling of 1328947200 in words is "one billion, three hundred twenty-eight million, nine hundred forty-seven thousand, two hundred".