1028359305792 has 672 divisors, whose sum is σ = 3909588157440. Its totient is φ = 262458040320.

The previous prime is 1028359305781. The next prime is 1028359305797. The reversal of 1028359305792 is 2975039538201.

1028359305792 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 35 + 9 + 30 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (1028359305797) 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, 34107748 + ... + 34137884.

It is an arithmetic number, because the mean of its divisors is an integer number (5817839520).

Almost surely, 2^{1028359305792} is an apocalyptic number.

1028359305792 is a gapful number since it is divisible by the number (12) 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 1028359305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954794078720).

1028359305792 is an abundant number, since it is smaller than the sum of its proper divisors (2881228851648).

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

1028359305792 is a wasteful number, since it uses less digits than its factorization.

1028359305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30216 (or 30193 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1028359305792 in words is "one trillion, twenty-eight billion, three hundred fifty-nine million, three hundred five thousand, seven hundred ninety-two".