1608280128 has 336 divisors, whose sum is σ = 5778130176. Its totient is φ = 416378880.

The previous prime is 1608280117. The next prime is 1608280153. The reversal of 1608280128 is 8210828061.

1608280128 is a `hidden beast` number, since 1 + 608 + 28 + 0 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 1608280092 and 1608280101.

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, 3197125 + ... + 3197627.

It is an arithmetic number, because the mean of its divisors is an integer number (17196816).

Almost surely, 2^1608280128 is an apocalyptic number.

1608280128 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 1608280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889065088).

1608280128 is an abundant number, since it is smaller than the sum of its proper divisors (4169850048).

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

1608280128 is a wasteful number, since it uses less digits than its factorization.

1608280128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1608280128 is about 40103.3680381087. The cubic root of 1608280128 is about 1171.6212282663.

The spelling of 1608280128 in words is "one billion, six hundred eight million, two hundred eighty thousand, one hundred twenty-eight".