1028607658848 has 288 divisors, whose sum is σ = 3693051048960. Its totient is φ = 263788462080.

The previous prime is 1028607658843. The next prime is 1028607658849. The reversal of 1028607658848 is 8488567068201.

1028607658848 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 0 + 7 + 6 + 588 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028607658843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458336 + ... + 2045472.

It is an arithmetic number, because the mean of its divisors is an integer number (12823093920).

Almost surely, 2^{1028607658848} is an apocalyptic number.

1028607658848 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 1028607658848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846525524480).

1028607658848 is an abundant number, since it is smaller than the sum of its proper divisors (2664443390112).

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

1028607658848 is a wasteful number, since it uses less digits than its factorization.

1028607658848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587250 (or 587239 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 1028607658848 in words is "one trillion, twenty-eight billion, six hundred seven million, six hundred fifty-eight thousand, eight hundred forty-eight".