1328947560 has 192 divisors, whose sum is σ = 4575916800. Its totient is φ = 346726656.

The previous prime is 1328947549. The next prime is 1328947577. The reversal of 1328947560 is 657498231.

1328947560 is a `hidden beast` number, since 1 + 3 + 2 + 89 + 4 + 7 + 560 = 666.

1328947560 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1328947560² = 3532203234459907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1328947560 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455386 + ... + 458294.

It is an arithmetic number, because the mean of its divisors is an integer number (23832900).

It is a 1-persistent number, because it is pandigital, but 2⋅1328947560 = 2657895120 is not.

It is a vampire number, since it can be written as 16920 ⋅ 78543 (with its own digits).

Almost surely, 2^1328947560 is an apocalyptic number.

1328947560 is a gapful number since it is divisible by the number (10) 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 1328947560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287958400).

1328947560 is an abundant number, since it is smaller than the sum of its proper divisors (3246969240).

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

1328947560 is a wasteful number, since it uses less digits than its factorization.

1328947560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2966 counting only the distinct ones).

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

The square root of 1328947560 is about 36454.7330260420. The cubic root of 1328947560 is about 1099.4342986561.

The spelling of 1328947560 in words is "one billion, three hundred twenty-eight million, nine hundred forty-seven thousand, five hundred sixty".