1328456704 has 99 divisors (see below), whose sum is σ = 2863750953. Its totient is φ = 615825408.

The previous prime is 1328456693. The next prime is 1328456729. The reversal of 1328456704 is 4076548231.

The square root of 1328456704 is 36448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1034265600 + 294191104 = 32160^2 + 17152^2 .

It is a super-3 number, since 3×1328456704³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19827679 + ... + 19827745.

Almost surely, 2^1328456704 is an apocalyptic number.

1328456704 is the 36448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328456704

1328456704 is an abundant number, since it is smaller than the sum of its proper divisors (1535294249).

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

1328456704 is an frugal number, since it uses more digits than its factorization.

1328456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The cubic root of 1328456704 is about 1099.2989207589.

The spelling of 1328456704 in words is "one billion, three hundred twenty-eight million, four hundred fifty-six thousand, seven hundred four".