1328830272 has 280 divisors, whose sum is σ = 4912522560. Its totient is φ = 345047040.

The previous prime is 1328830271. The next prime is 1328830277. The reversal of 1328830272 is 2720388231.

It is a happy number.

1328830272 is a `hidden beast` number, since 1 + 3 + 288 + 302 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328830271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397504 + ... + 400832.

Almost surely, 2^1328830272 is an apocalyptic number.

1328830272 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 1328830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456261280).

1328830272 is an abundant number, since it is smaller than the sum of its proper divisors (3583692288).

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

1328830272 is a wasteful number, since it uses less digits than its factorization.

1328830272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1328830272 is about 36453.1243105444. The cubic root of 1328830272 is about 1099.4019537019.

The spelling of 1328830272 in words is "one billion, three hundred twenty-eight million, eight hundred thirty thousand, two hundred seventy-two".