1028890646784 has 2592 divisors, whose sum is σ = 4391813357568. Its totient is φ = 232906752000.

The previous prime is 1028890646741. The next prime is 1028890646801. The reversal of 1028890646784 is 4876460988201.

1028890646784 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 8 + 90 + 6 + 467 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25094893804 + ... + 25094893844.

Almost surely, 2^{1028890646784} is an apocalyptic number.

1028890646784 is a gapful number since it is divisible by the number (14) 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 1028890646784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195906678784).

1028890646784 is an abundant number, since it is smaller than the sum of its proper divisors (3362922710784).

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

1028890646784 is a wasteful number, since it uses less digits than its factorization.

1028890646784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 1028890646784 in words is "one trillion, twenty-eight billion, eight hundred ninety million, six hundred forty-six thousand, seven hundred eighty-four".