1328953200 has 120 divisors (see below), whose sum is σ = 4347840768. Its totient is φ = 346832640.

The previous prime is 1328953193. The next prime is 1328953207. The reversal of 1328953200 is 23598231.

It is an interprime number because it is at equal distance from previous prime (1328953193) and next prime (1328953207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1328953200² = 3532233215580480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328953207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44619 + ... + 68181.

Almost surely, 2^1328953200 is an apocalyptic number.

1328953200 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 1328953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173920384).

1328953200 is an abundant number, since it is smaller than the sum of its proper divisors (3018887568).

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

1328953200 is a wasteful number, since it uses less digits than its factorization.

1328953200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23631 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1328953200 is about 36454.8103821704. The cubic root of 1328953200 is about 1099.4358539722.

The spelling of 1328953200 in words is "one billion, three hundred twenty-eight million, nine hundred fifty-three thousand, two hundred".