1328142816 has 576 divisors, whose sum is σ = 5389203456. Its totient is φ = 298598400.

The previous prime is 1328142791. The next prime is 1328142839. The reversal of 1328142816 is 6182418231.

1328142816 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4900761 + ... + 4901031.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256).

Almost surely, 2^1328142816 is an apocalyptic number.

1328142816 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 1328142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694601728).

1328142816 is an abundant number, since it is smaller than the sum of its proper divisors (4061060640).

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

1328142816 is a wasteful number, since it uses less digits than its factorization.

1328142816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1328142816 is about 36443.6937754668. The cubic root of 1328142816 is about 1099.2123330869.

The spelling of 1328142816 in words is "one billion, three hundred twenty-eight million, one hundred forty-two thousand, eight hundred sixteen".