1728226573920 has 1728 divisors, whose sum is σ = 7776133747200. Its totient is φ = 346477824000.

The previous prime is 1728226573903. The next prime is 1728226573963. The reversal of 1728226573920 is 293756228271.

1728226573920 is a `hidden beast` number, since 1 + 7 + 28 + 2 + 26 + 573 + 9 + 20 = 666.

It is a super-2 number, since 2×1728226573920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5221228155 + ... + 5221228485.

It is an arithmetic number, because the mean of its divisors is an integer number (4500077400).

Almost surely, 2^{1728226573920} is an apocalyptic number.

1728226573920 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 1728226573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888066873600).

1728226573920 is an abundant number, since it is smaller than the sum of its proper divisors (6047907173280).

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

1728226573920 is a wasteful number, since it uses less digits than its factorization.

1728226573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1728226573920 in words is "one trillion, seven hundred twenty-eight billion, two hundred twenty-six million, five hundred seventy-three thousand, nine hundred twenty".