1608553728 has 90 divisors (see below), whose sum is σ = 4796477994. Its totient is φ = 536177664.

The previous prime is 1608553717. The next prime is 1608553729. The reversal of 1608553728 is 8273558061.

1608553728 is a `hidden beast` number, since 1 + 608 + 5 + 5 + 37 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1602561024 + 5992704 = 40032^2 + 2448^2 .

It is a super-3 number, since 3×1608553728³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608553729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18051 + ... + 59522.

Almost surely, 2^1608553728 is an apocalyptic number.

1608553728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1608553728 is an abundant number, since it is smaller than the sum of its proper divisors (3187924266).

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

1608553728 is an frugal number, since it uses more digits than its factorization.

1608553728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77601 (or 77578 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1608553728 is about 40106.7790778567. The cubic root of 1608553728 is about 1171.6876630842.

The spelling of 1608553728 in words is "one billion, six hundred eight million, five hundred fifty-three thousand, seven hundred twenty-eight".