1629658728 has 96 divisors (see below), whose sum is σ = 4654821600. Its totient is φ = 513648000.

The previous prime is 1629658727. The next prime is 1629658753. The reversal of 1629658728 is 8278569261.

1629658728 is a `hidden beast` number, since 1 + 629 + 6 + 5 + 8 + 7 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1629658727) 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 23 ways as a sum of consecutive naturals, for example, 1122403 + ... + 1123853.

It is an arithmetic number, because the mean of its divisors is an integer number (48487725).

Almost surely, 2^1629658728 is an apocalyptic number.

1629658728 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 1629658728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327410800).

1629658728 is an abundant number, since it is smaller than the sum of its proper divisors (3025162872).

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

1629658728 is a wasteful number, since it uses less digits than its factorization.

1629658728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2296 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 1629658728 is about 40369.0317941860. The cubic root of 1629658728 is about 1176.7897825401.

The spelling of 1629658728 in words is "one billion, six hundred twenty-nine million, six hundred fifty-eight thousand, seven hundred twenty-eight".