1483165728 has 180 divisors, whose sum is σ = 4795553070. Its totient is φ = 449349120.

The previous prime is 1483165711. The next prime is 1483165769. The reversal of 1483165728 is 8275613841.

1483165728 is a `hidden beast` number, since 1 + 48 + 31 + 6 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1475481744 + 7683984 = 38412^2 + 2772^2 .

It is a super-5 number, since 5×1483165728⁵ (a number of 47 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 311268 + ... + 315996.

Almost surely, 2^1483165728 is an apocalyptic number.

1483165728 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 1483165728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397776535).

1483165728 is an abundant number, since it is smaller than the sum of its proper divisors (3312387342).

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

1483165728 is a wasteful number, since it uses less digits than its factorization.

1483165728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4745 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1483165728 is about 38511.8907352002. The cubic root of 1483165728 is about 1140.4158039997.

The spelling of 1483165728 in words is "one billion, four hundred eighty-three million, one hundred sixty-five thousand, seven hundred twenty-eight".