1789628416 has 39 divisors (see below), whose sum is σ = 3584242353. Its totient is φ = 893460480.

The previous prime is 1789628383. The next prime is 1789628417. The reversal of 1789628416 is 6148269871.

The square root of 1789628416 is 42304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1420988416 + 368640000 = 37696^2 + 19200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1789628417) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 2707126 + ... + 2707786.

Almost surely, 2^1789628416 is an apocalyptic number.

1789628416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1789628416 is the 42304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1789628416

1789628416 is an abundant number, since it is smaller than the sum of its proper divisors (1794613937).

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

1789628416 is an frugal number, since it uses more digits than its factorization.

1789628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 663 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The cubic root of 1789628416 is about 1214.0995243857.

The spelling of 1789628416 in words is "one billion, seven hundred eighty-nine million, six hundred twenty-eight thousand, four hundred sixteen".