1731728880 has 240 divisors, whose sum is σ = 6935984640. Its totient is φ = 378588672.

The previous prime is 1731728879. The next prime is 1731728891. The reversal of 1731728880 is 888271371.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108451 + ... + 123389.

It is an arithmetic number, because the mean of its divisors is an integer number (28899936).

Almost surely, 2^1731728880 is an apocalyptic number.

1731728880 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 1731728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467992320).

1731728880 is an abundant number, since it is smaller than the sum of its proper divisors (5204255760).

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

1731728880 is a wasteful number, since it uses less digits than its factorization.

1731728880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988 (or 14979 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 1731728880 is about 41614.0466669609. The cubic root of 1731728880 is about 1200.8625465294.

The spelling of 1731728880 in words is "one billion, seven hundred thirty-one million, seven hundred twenty-eight thousand, eight hundred eighty".