1028529743680 has 112 divisors (see below), whose sum is σ = 2503747169280. Its totient is φ = 402319923200.

The previous prime is 1028529743671. The next prime is 1028529743713. The reversal of 1028529743680 is 863479258201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3463470 + ... + 3748690.

It is an arithmetic number, because the mean of its divisors is an integer number (22354885440).

It is a 1-persistent number, because it is pandigital, but 2⋅1028529743680 = 2057059487360 is not.

Almost surely, 2^{1028529743680} is an apocalyptic number.

1028529743680 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 1028529743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251873584640).

1028529743680 is an abundant number, since it is smaller than the sum of its proper divisors (1475217425600).

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

1028529743680 is a wasteful number, since it uses less digits than its factorization.

1028529743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285488 (or 285478 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 1028529743680 in words is "one trillion, twenty-eight billion, five hundred twenty-nine million, seven hundred forty-three thousand, six hundred eighty".