1728641920 has 64 divisors (see below), whose sum is σ = 4137609600. Its totient is φ = 690608128.

The previous prime is 1728641911. The next prime is 1728641953. The reversal of 1728641920 is 291468271.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 920022 + ... + 921898.

It is an arithmetic number, because the mean of its divisors is an integer number (64650150).

Almost surely, 2^1728641920 is an apocalyptic number.

1728641920 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 1728641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068804800).

1728641920 is an abundant number, since it is smaller than the sum of its proper divisors (2408967680).

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

1728641920 is a wasteful number, since it uses less digits than its factorization.

1728641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1728641920 is about 41576.9397623250. The cubic root of 1728641920 is about 1200.1485741966.

The spelling of 1728641920 in words is "one billion, seven hundred twenty-eight million, six hundred forty-one thousand, nine hundred twenty".