1328857200 has 360 divisors, whose sum is σ = 5253056640. Its totient is φ = 307929600.

The previous prime is 1328857199. The next prime is 1328857219. The reversal of 1328857200 is 27588231.

1328857200 is a `hidden beast` number, since 1 + 3 + 2 + 88 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1328857200² = 3531722915983680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910071 + ... + 911529.

It is an arithmetic number, because the mean of its divisors is an integer number (14591824).

Almost surely, 2^1328857200 is an apocalyptic number.

1328857200 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 1328857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626528320).

1328857200 is an abundant number, since it is smaller than the sum of its proper divisors (3924199440).

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

1328857200 is a wasteful number, since it uses less digits than its factorization.

1328857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1503 counting only the distinct ones).

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

The square root of 1328857200 is about 36453.4936597303. The cubic root of 1328857200 is about 1099.4093799064.

The spelling of 1328857200 in words is "one billion, three hundred twenty-eight million, eight hundred fifty-seven thousand, two hundred".