1328956200 has 384 divisors, whose sum is σ = 5380905600. Its totient is φ = 297216000.

The previous prime is 1328956183. The next prime is 1328956217. The reversal of 1328956200 is 26598231.

1328956200 is a `hidden beast` number, since 1 + 3 + 28 + 9 + 5 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1328956183) and next prime (1328956217).

It is a super-2 number, since 2×1328956200² = 3532249163036880000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 771340 + ... + 773060.

It is an arithmetic number, because the mean of its divisors is an integer number (14012775).

Almost surely, 2^1328956200 is an apocalyptic number.

1328956200 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 1328956200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690452800).

1328956200 is an abundant number, since it is smaller than the sum of its proper divisors (4051949400).

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

1328956200 is a wasteful number, since it uses less digits than its factorization.

1328956200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1328956200 is about 36454.8515289803. The cubic root of 1328956200 is about 1099.4366812662.

The spelling of 1328956200 in words is "one billion, three hundred twenty-eight million, nine hundred fifty-six thousand, two hundred".