1028656665648 has 200 divisors, whose sum is σ = 3059834738400. Its totient is φ = 333385113600.

The previous prime is 1028656665637. The next prime is 1028656665689. The reversal of 1028656665648 is 8465666568201.

It is a happy number.

It is a super-3 number, since 3×1028656665648³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76764453 + ... + 76777851.

It is an arithmetic number, because the mean of its divisors is an integer number (15299173692).

Almost surely, 2^{1028656665648} is an apocalyptic number.

1028656665648 is a gapful number since it is divisible by the number (18) 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 1028656665648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529917369200).

1028656665648 is an abundant number, since it is smaller than the sum of its proper divisors (2031178072752).

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

1028656665648 is a wasteful number, since it uses less digits than its factorization.

1028656665648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15057 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 1028656665648 in words is "one trillion, twenty-eight billion, six hundred fifty-six million, six hundred sixty-five thousand, six hundred forty-eight".