1628141824 has 72 divisors (see below), whose sum is σ = 3375314432. Its totient is φ = 782991360.

The previous prime is 1628141813. The next prime is 1628141843. The reversal of 1628141824 is 4281418261.

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 7 ways as a sum of consecutive naturals, for example, 1531117 + ... + 1532179.

Almost surely, 2^1628141824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687657216).

1628141824 is an abundant number, since it is smaller than the sum of its proper divisors (1747172608).

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

1628141824 is a wasteful number, since it uses less digits than its factorization.

1628141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 1628141824 is about 40350.2394540602. The cubic root of 1628141824 is about 1176.4245463017.

The spelling of 1628141824 in words is "one billion, six hundred twenty-eight million, one hundred forty-one thousand, eight hundred twenty-four".