1328683776 has 216 divisors, whose sum is σ = 4168975104. Its totient is φ = 367933440.

The previous prime is 1328683753. The next prime is 1328683799. The reversal of 1328683776 is 6773868231.

It is an interprime number because it is at equal distance from previous prime (1328683753) and next prime (1328683799).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18713821 + ... + 18713891.

Almost surely, 2^1328683776 is an apocalyptic number.

1328683776 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 1328683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084487552).

1328683776 is an abundant number, since it is smaller than the sum of its proper divisors (2840291328).

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

1328683776 is an frugal number, since it uses more digits than its factorization.

1328683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 142 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 1328683776 is about 36451.1148800692. The cubic root of 1328683776 is about 1099.3615512741.

The spelling of 1328683776 in words is "one billion, three hundred twenty-eight million, six hundred eighty-three thousand, seven hundred seventy-six".