1680265728 has 80 divisors (see below), whose sum is σ = 4973744160. Its totient is φ = 560083968.

The previous prime is 1680265711. The next prime is 1680265733. The reversal of 1680265728 is 8275620861.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46950 + ... + 74597.

It is an arithmetic number, because the mean of its divisors is an integer number (62171802).

Almost surely, 2^1680265728 is an apocalyptic number.

1680265728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1680265728 is an abundant number, since it is smaller than the sum of its proper divisors (3293478432).

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

1680265728 is an equidigital number, since it uses as much as digits as its factorization.

1680265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121574 (or 121552 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1680265728 is about 40991.0444853507. The cubic root of 1680265728 is about 1188.8470644901.

The spelling of 1680265728 in words is "one billion, six hundred eighty million, two hundred sixty-five thousand, seven hundred twenty-eight".