1683563628 has 96 divisors (see below), whose sum is σ = 4221952000. Its totient is φ = 520603200.

The previous prime is 1683563627. The next prime is 1683563639. The reversal of 1683563628 is 8263653861.

It is not an unprimeable number, because it can be changed into a prime (1683563621) 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 31 ways as a sum of consecutive naturals, for example, 2719503 + ... + 2720121.

Almost surely, 2^1683563628 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 1683563628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110976000).

1683563628 is an abundant number, since it is smaller than the sum of its proper divisors (2538388372).

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

1683563628 is a wasteful number, since it uses less digits than its factorization.

1683563628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 1683563628 is about 41031.2518453922. The cubic root of 1683563628 is about 1189.6243495701.

The spelling of 1683563628 in words is "one billion, six hundred eighty-three million, five hundred sixty-three thousand, six hundred twenty-eight".