1328578272 has 144 divisors (see below), whose sum is σ = 4328749152. Its totient is φ = 378639360.

The previous prime is 1328578243. The next prime is 1328578283. The reversal of 1328578272 is 2728758231.

1328578272 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 578 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332078 + ... + 1333074.

It is an arithmetic number, because the mean of its divisors is an integer number (30060758).

Almost surely, 2^1328578272 is an apocalyptic number.

1328578272 is a gapful number since it is divisible by the number (12) 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 1328578272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164374576).

1328578272 is an abundant number, since it is smaller than the sum of its proper divisors (3000170880).

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

1328578272 is a wasteful number, since it uses less digits than its factorization.

1328578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1670 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 1328578272 is about 36449.6676528058. The cubic root of 1328578272 is about 1099.3324522732.

The spelling of 1328578272 in words is "one billion, three hundred twenty-eight million, five hundred seventy-eight thousand, two hundred seventy-two".