1028281101930 has 96 divisors (see below), whose sum is σ = 2697766815744. Its totient is φ = 271727664768.

The previous prime is 1028281101919. The next prime is 1028281101997. The reversal of 1028281101930 is 391011828201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9697057 + ... + 9802523.

It is an arithmetic number, because the mean of its divisors is an integer number (28101737664).

Almost surely, 2^{1028281101930} is an apocalyptic number.

1028281101930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028281101930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348883407872).

1028281101930 is an abundant number, since it is smaller than the sum of its proper divisors (1669485713814).

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

1028281101930 is a wasteful number, since it uses less digits than its factorization.

1028281101930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106460 (or 106457 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 1028281101930 in words is "one trillion, twenty-eight billion, two hundred eighty-one million, one hundred one thousand, nine hundred thirty".