1028159858880 has 672 divisors, whose sum is σ = 4600791456768. Its totient is φ = 204353740800.

The previous prime is 1028159858879. The next prime is 1028159858897. The reversal of 1028159858880 is 888589518201.

1028159858880 is a `hidden beast` number, since 10 + 28 + 1 + 598 + 5 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1028159858880² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4999690 + ... + 5201270.

Almost surely, 2^{1028159858880} is an apocalyptic number.

1028159858880 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 1028159858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300395728384).

1028159858880 is an abundant number, since it is smaller than the sum of its proper divisors (3572631597888).

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

1028159858880 is a wasteful number, since it uses less digits than its factorization.

1028159858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201645 (or 201632 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 63.

The spelling of 1028159858880 in words is "one trillion, twenty-eight billion, one hundred fifty-nine million, eight hundred fifty-eight thousand, eight hundred eighty".