1028107468800 has 1020 divisors, whose sum is σ = 3901713139456. Its totient is φ = 267544166400.

The previous prime is 1028107468783. The next prime is 1028107468841. The reversal of 1028107468800 is 88647018201.

1028107468800 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 107 + 468 + 80 + 0 = 666.

1028107468800 is digitally balanced in base 2, because in such base 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8095334337 + ... + 8095334463.

Almost surely, 2^{1028107468800} is an apocalyptic number.

1028107468800 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 1028107468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950856569728).

1028107468800 is an abundant number, since it is smaller than the sum of its proper divisors (2873605670656).

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

1028107468800 is an frugal number, since it uses more digits than its factorization.

1028107468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1028107468800 in words is "one trillion, twenty-eight billion, one hundred seven million, four hundred sixty-eight thousand, eight hundred".