1728893980 has 108 divisors (see below), whose sum is σ = 4213966680. Its totient is φ = 595298880.

The previous prime is 1728893951. The next prime is 1728893987. The reversal of 1728893980 is 893988271.

It is a Harshad number since it is a multiple of its sum of digits (55).

1728893980 is a Rhonda number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728893987) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 872631 + ... + 874609.

It is an arithmetic number, because the mean of its divisors is an integer number (39018210).

Almost surely, 2^1728893980 is an apocalyptic number.

1728893980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728893980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106983340).

1728893980 is an abundant number, since it is smaller than the sum of its proper divisors (2485072700).

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

1728893980 is a wasteful number, since it uses less digits than its factorization.

1728893980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The square root of 1728893980 is about 41579.9708994607. The cubic root of 1728893980 is about 1200.2069041383.

The spelling of 1728893980 in words is "one billion, seven hundred twenty-eight million, eight hundred ninety-three thousand, nine hundred eighty".