1028952271368 has 128 divisors (see below), whose sum is σ = 3270330835200. Its totient is φ = 293642952192.

The previous prime is 1028952271363. The next prime is 1028952271381. The reversal of 1028952271368 is 8631722598201.

1028952271368 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 9 + 5 + 2 + 271 + 368 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1028952271363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 898746 + ... + 1692822.

It is an arithmetic number, because the mean of its divisors is an integer number (25549459650).

Almost surely, 2^{1028952271368} is an apocalyptic number.

1028952271368 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 1028952271368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635165417600).

1028952271368 is an abundant number, since it is smaller than the sum of its proper divisors (2241378563832).

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

1028952271368 is a wasteful number, since it uses less digits than its factorization.

1028952271368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794956 (or 794946 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1028952271368 in words is "one trillion, twenty-eight billion, nine hundred fifty-two million, two hundred seventy-one thousand, three hundred sixty-eight".