1328249664 has 392 divisors, whose sum is σ = 4664049600. Its totient is φ = 374927616.

The previous prime is 1328249647. The next prime is 1328249707. The reversal of 1328249664 is 4669428231.

It is a tau number, because it is divible by the number of its divisors (392).

It is a super-2 number, since 2×1328249664² = 3528494339832225792, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 16002967 + ... + 16003049.

Almost surely, 2^1328249664 is an apocalyptic number.

1328249664 is a gapful number since it is divisible by the number (14) 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 1328249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332024800).

1328249664 is an abundant number, since it is smaller than the sum of its proper divisors (3335799936).

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

1328249664 is an frugal number, since it uses more digits than its factorization.

1328249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1328249664 is about 36445.1596786185. The cubic root of 1328249664 is about 1099.2418092066.

The spelling of 1328249664 in words is "one billion, three hundred twenty-eight million, two hundred forty-nine thousand, six hundred sixty-four".