1328905216 has 44 divisors (see below), whose sum is σ = 2668682088. Its totient is φ = 661409792.

The previous prime is 1328905187. The next prime is 1328905217. The reversal of 1328905216 is 6125098231.

It is a super-2 number, since 2×1328905216² = 3531978146224013312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328905217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229590 + ... + 235306.

Almost surely, 2^1328905216 is an apocalyptic number.

1328905216 is a gapful number since it is divisible by the number (16) 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 1328905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334341044).

1328905216 is an abundant number, since it is smaller than the sum of its proper divisors (1339776872).

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

1328905216 is an equidigital number, since it uses as much as digits as its factorization.

1328905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1328905216 is about 36454.1522463491. The cubic root of 1328905216 is about 1099.4226215110.

The spelling of 1328905216 in words is "one billion, three hundred twenty-eight million, nine hundred five thousand, two hundred sixteen".