1728858952512 has 224 divisors, whose sum is σ = 5582638771200. Its totient is φ = 522218036736.

The previous prime is 1728858952487. The next prime is 1728858952537. The reversal of 1728858952512 is 2152598588271.

1728858952512 is a `hidden beast` number, since 1 + 7 + 28 + 8 + 5 + 8 + 95 + 2 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (1728858952487) and next prime (1728858952537).

It is a super-2 number, since 2×1728858952512² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1728858952512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389598 + ... + 1899869.

Almost surely, 2^{1728858952512} is an apocalyptic number.

1728858952512 is a gapful number since it is divisible by the number (12) 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 1728858952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791319385600).

1728858952512 is an abundant number, since it is smaller than the sum of its proper divisors (3853779818688).

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

1728858952512 is a wasteful number, since it uses less digits than its factorization.

1728858952512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289530 (or 2289514 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 63.

The spelling of 1728858952512 in words is "one trillion, seven hundred twenty-eight billion, eight hundred fifty-eight million, nine hundred fifty-two thousand, five hundred twelve".