1328853312 has 336 divisors, whose sum is σ = 4279392000. Its totient is φ = 392491008.

The previous prime is 1328853287. The next prime is 1328853319. The reversal of 1328853312 is 2133588231.

It is a happy number.

1328853312 is a `hidden beast` number, since 1 + 32 + 88 + 533 + 12 = 666.

It is a super-2 number, since 2×1328853312² = 3531702249626738688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328853319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16820889 + ... + 16820967.

Almost surely, 2^1328853312 is an apocalyptic number.

1328853312 is a gapful number since it is divisible by the number (12) 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 1328853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139696000).

1328853312 is an abundant number, since it is smaller than the sum of its proper divisors (2950538688).

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

1328853312 is a wasteful number, since it uses less digits than its factorization.

1328853312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1328853312 is about 36453.4403314694. The cubic root of 1328853312 is about 1099.4083076798.

The spelling of 1328853312 in words is "one billion, three hundred twenty-eight million, eight hundred fifty-three thousand, three hundred twelve".