1728628244640 has 1296 divisors, whose sum is σ = 6966029790720. Its totient is φ = 404619494400.

The previous prime is 1728628244561. The next prime is 1728628244653. The reversal of 1728628244640 is 464428268271.

It is a happy number.

1728628244640 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 628 + 2 + 4 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3937649541 + ... + 3937649979.

Almost surely, 2^{1728628244640} is an apocalyptic number.

1728628244640 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 1728628244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483014895360).

1728628244640 is an abundant number, since it is smaller than the sum of its proper divisors (5237401546080).

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

1728628244640 is an equidigital number, since it uses as much as digits as its factorization.

1728628244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 1728628244640 in words is "one trillion, seven hundred twenty-eight billion, six hundred twenty-eight million, two hundred forty-four thousand, six hundred forty".