1728878407200 has 3456 divisors, whose sum is σ = 8207474688000. Its totient is φ = 348713164800.

The previous prime is 1728878407051. The next prime is 1728878407211. The reversal of 1728878407200 is 27048788271.

1728878407200 is a `hidden beast` number, since 1 + 7 + 28 + 8 + 7 + 8 + 407 + 200 = 666.

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 575 ways as a sum of consecutive naturals, for example, 21884536761 + ... + 21884536839.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848000).

Almost surely, 2^{1728878407200} is an apocalyptic number.

1728878407200 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 1728878407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103737344000).

1728878407200 is an abundant number, since it is smaller than the sum of its proper divisors (6478596280800).

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

1728878407200 is a wasteful number, since it uses less digits than its factorization.

1728878407200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 1728878407200 in words is "one trillion, seven hundred twenty-eight billion, eight hundred seventy-eight million, four hundred seven thousand, two hundred".