1328334336 has 480 divisors, whose sum is σ = 4786166880. Its totient is φ = 362299392.

The previous prime is 1328334317. The next prime is 1328334347. The reversal of 1328334336 is 6334338231.

1328334336 is a `hidden beast` number, since 1 + 3 + 283 + 343 + 36 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1328334336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25062886 + ... + 25062938.

It is an arithmetic number, because the mean of its divisors is an integer number (9971181).

Almost surely, 2^1328334336 is an apocalyptic number.

1328334336 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 1328334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393083440).

1328334336 is an abundant number, since it is smaller than the sum of its proper divisors (3457832544).

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

1328334336 is an equidigital number, since it uses as much as digits as its factorization.

1328334336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 1328334336 is about 36446.3212958455. The cubic root of 1328334336 is about 1099.2651665185.

The spelling of 1328334336 in words is "one billion, three hundred twenty-eight million, three hundred thirty-four thousand, three hundred thirty-six".