1028617624566 has 128 divisors (see below), whose sum is σ = 2750865408000. Its totient is φ = 278320512672.

The previous prime is 1028617624501. The next prime is 1028617624571. The reversal of 1028617624566 is 6654267168201.

1028617624566 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 1 + 7 + 624 + 5 + 6 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20652105 + ... + 20701851.

It is an arithmetic number, because the mean of its divisors is an integer number (21491136000).

Almost surely, 2^{1028617624566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028617624566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375432704000).

1028617624566 is an abundant number, since it is smaller than the sum of its proper divisors (1722247783434).

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

1028617624566 is a wasteful number, since it uses less digits than its factorization.

1028617624566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52663 (or 52657 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1028617624566 in words is "one trillion, twenty-eight billion, six hundred seventeen million, six hundred twenty-four thousand, five hundred sixty-six".