1181417328 has 240 divisors, whose sum is σ = 4119111360. Its totient is φ = 307777536.

The previous prime is 1181417299. The next prime is 1181417339. The reversal of 1181417328 is 8237141811.

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 = 1181417292 and 1181417301.

It is a congruent number.

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, 1165750 + ... + 1166762.

It is an arithmetic number, because the mean of its divisors is an integer number (17162964).

Almost surely, 2^1181417328 is an apocalyptic number.

1181417328 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 1181417328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059555680).

1181417328 is an abundant number, since it is smaller than the sum of its proper divisors (2937694032).

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

1181417328 is a wasteful number, since it uses less digits than its factorization.

1181417328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1127 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 1181417328 is about 34371.7518901787. The cubic root of 1181417328 is about 1057.1447211209.

The spelling of 1181417328 in words is "one billion, one hundred eighty-one million, four hundred seventeen thousand, three hundred twenty-eight".