1028747689984 has 171 divisors, whose sum is σ = 2401895585907. Its totient is φ = 439333945344.

The previous prime is 1028747689973. The next prime is 1028747690029. The reversal of 1028747689984 is 4899867478201.

The square root of 1028747689984 is 1014272.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3635150707 + ... + 3635150989.

It is an arithmetic number, because the mean of its divisors is an integer number (14046173017).

Almost surely, 2^{1028747689984} is an apocalyptic number.

1028747689984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1028747689984 is the 1014272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028747689984

1028747689984 is an abundant number, since it is smaller than the sum of its proper divisors (1373147895923).

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

1028747689984 is an frugal number, since it uses more digits than its factorization.

1028747689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 73.

The spelling of 1028747689984 in words is "one trillion, twenty-eight billion, seven hundred forty-seven million, six hundred eighty-nine thousand, nine hundred eighty-four".