1679821728 has 96 divisors (see below), whose sum is σ = 4806236736. Its totient is φ = 510609408.

The previous prime is 1679821709. The next prime is 1679821729. The reversal of 1679821728 is 8271289761.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1679821729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95476 + ... + 111692.

It is an arithmetic number, because the mean of its divisors is an integer number (50064966).

Almost surely, 2^1679821728 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 1679821728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403118368).

1679821728 is an abundant number, since it is smaller than the sum of its proper divisors (3126415008).

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

1679821728 is a wasteful number, since it uses less digits than its factorization.

1679821728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326 (or 16318 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 1679821728 is about 40985.6283104212. The cubic root of 1679821728 is about 1188.7423400630.

The spelling of 1679821728 in words is "one billion, six hundred seventy-nine million, eight hundred twenty-one thousand, seven hundred twenty-eight".