1728079920 has 640 divisors, whose sum is σ = 7379527680. Its totient is φ = 367276032.

The previous prime is 1728079909. The next prime is 1728079921. The reversal of 1728079920 is 299708271.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728079921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20820199 + ... + 20820281.

It is an arithmetic number, because the mean of its divisors is an integer number (11530512).

Almost surely, 2^1728079920 is an apocalyptic number.

1728079920 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 1728079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689763840).

1728079920 is an abundant number, since it is smaller than the sum of its proper divisors (5651447760).

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

1728079920 is an equidigital number, since it uses as much as digits as its factorization.

1728079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1728079920 is about 41570.1806587366. The cubic root of 1728079920 is about 1200.0184997148.

The spelling of 1728079920 in words is "one billion, seven hundred twenty-eight million, seventy-nine thousand, nine hundred twenty".