1328948208 has 300 divisors, whose sum is σ = 4741384032. Its totient is φ = 357073920.

The previous prime is 1328948183. The next prime is 1328948213. The reversal of 1328948208 is 8028498231.

It is a super-2 number, since 2×1328948208² = 3532206679092822528, which contains 22 as substring.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1078953 + ... + 1080183.

Almost surely, 2^1328948208 is an apocalyptic number.

1328948208 is a gapful number since it is divisible by the number (18) 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 1328948208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370692016).

1328948208 is an abundant number, since it is smaller than the sum of its proper divisors (3412435824).

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

1328948208 is a wasteful number, since it uses less digits than its factorization.

1328948208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1328948208 is about 36454.7419137758. The cubic root of 1328948208 is about 1099.4344773522.

The spelling of 1328948208 in words is "one billion, three hundred twenty-eight million, nine hundred forty-eight thousand, two hundred eight".