1328509764 has 36 divisors (see below), whose sum is σ = 3395917980. Its totient is φ = 437859840.

The previous prime is 1328509751. The next prime is 1328509799. The reversal of 1328509764 is 4679058231.

1328509764 is a `hidden beast` number, since 132 + 8 + 509 + 7 + 6 + 4 = 666.

1328509764 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 817388100 + 511121664 = 28590^2 + 22608^2 .

It is a tau number, because it is divible by the number of its divisors (36).

1328509764 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204117 + ... + 210524.

It is an arithmetic number, because the mean of its divisors is an integer number (94331055).

It is a 1-persistent number, because it is pandigital, but 2⋅1328509764 = 2657019528 is not.

Almost surely, 2^1328509764 is an apocalyptic number.

It is an amenable number.

1328509764 is an abundant number, since it is smaller than the sum of its proper divisors (2067408216).

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

1328509764 is a wasteful number, since it uses less digits than its factorization.

1328509764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414740 (or 414735 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1328509764 is about 36448.7278790358. The cubic root of 1328509764 is about 1099.3135562940.

The spelling of 1328509764 in words is "one billion, three hundred twenty-eight million, five hundred nine thousand, seven hundred sixty-four".