1482116328 has 288 divisors, whose sum is σ = 5146333920. Its totient is φ = 381024000.

The previous prime is 1482116323. The next prime is 1482116359. The reversal of 1482116328 is 8236112841.

1482116328 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 11 + 632 + 8 = 666.

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 = 1482116292 and 1482116301.

It is not an unprimeable number, because it can be changed into a prime (1482116323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7024143 + ... + 7024353.

It is an arithmetic number, because the mean of its divisors is an integer number (17869215).

Almost surely, 2^1482116328 is an apocalyptic number.

1482116328 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 1482116328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573166960).

1482116328 is an abundant number, since it is smaller than the sum of its proper divisors (3664217592).

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

1482116328 is a wasteful number, since it uses less digits than its factorization.

1482116328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1482116328 is about 38498.2639608593. The cubic root of 1482116328 is about 1140.1467770386.

The spelling of 1482116328 in words is "one billion, four hundred eighty-two million, one hundred sixteen thousand, three hundred twenty-eight".