1028541684960 has 384 divisors, whose sum is σ = 3691695813120. Its totient is φ = 267298099200.

The previous prime is 1028541684883. The next prime is 1028541684991. The reversal of 1028541684960 is 694861458201.

1028541684960 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 541 + 6 + 8 + 4 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1028541684897 and 1028541684906.

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, 198903175 + ... + 198908345.

It is an arithmetic number, because the mean of its divisors is an integer number (9613791180).

Almost surely, 2^{1028541684960} is an apocalyptic number.

1028541684960 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 1028541684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845847906560).

1028541684960 is an abundant number, since it is smaller than the sum of its proper divisors (2663154128160).

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

1028541684960 is a wasteful number, since it uses less digits than its factorization.

1028541684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1028541684960 in words is "one trillion, twenty-eight billion, five hundred forty-one million, six hundred eighty-four thousand, nine hundred sixty".