1028717668800 has 672 divisors, whose sum is σ = 3954486579200. Its totient is φ = 259422289920.

The previous prime is 1028717668789. The next prime is 1028717668807. The reversal of 1028717668800 is 88667178201.

It is a happy number.

1028717668800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028717668807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892209024 + ... + 892210176.

Almost surely, 2^{1028717668800} is an apocalyptic number.

1028717668800 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 1028717668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977243289600).

1028717668800 is an abundant number, since it is smaller than the sum of its proper divisors (2925768910400).

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

1028717668800 is a wasteful number, since it uses less digits than its factorization.

1028717668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1028717668800 in words is "one trillion, twenty-eight billion, seven hundred seventeen million, six hundred sixty-eight thousand, eight hundred".