1291163328 has 840 divisors, whose sum is σ = 5297558112. Its totient is φ = 306561024.

The previous prime is 1291163309. The next prime is 1291163347. The reversal of 1291163328 is 8233611921.

1291163328 is a `hidden beast` number, since 1 + 2 + 9 + 11 + 633 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1291163309) and next prime (1291163347).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1291163292 and 1291163301.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56137525 + ... + 56137547.

Almost surely, 2^1291163328 is an apocalyptic number.

1291163328 is a gapful number since it is divisible by the number (18) 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 1291163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648779056).

1291163328 is an abundant number, since it is smaller than the sum of its proper divisors (4006394784).

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

1291163328 is a wasteful number, since it uses less digits than its factorization.

1291163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1291163328 is about 35932.7612075666. The cubic root of 1291163328 is about 1088.9143661461.

The spelling of 1291163328 in words is "one billion, two hundred ninety-one million, one hundred sixty-three thousand, three hundred twenty-eight".