1028682547200 has 1728 divisors, whose sum is σ = 4743236413440. Its totient is φ = 212336640000.

The previous prime is 1028682547199. The next prime is 1028682547213. The reversal of 1028682547200 is 27452868201.

1028682547200 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 82 + 547 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6812467125 + ... + 6812467275.

It is an arithmetic number, because the mean of its divisors is an integer number (2744928480).

Almost surely, 2^{1028682547200} is an apocalyptic number.

1028682547200 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 1028682547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371618206720).

1028682547200 is an abundant number, since it is smaller than the sum of its proper divisors (3714553866240).

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

1028682547200 is an equidigital number, since it uses as much as digits as its factorization.

1028682547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1028682547200 in words is "one trillion, twenty-eight billion, six hundred eighty-two million, five hundred forty-seven thousand, two hundred".