1028939375268 has 288 divisors, whose sum is σ = 3178573332480. Its totient is φ = 273958087680.

The previous prime is 1028939375249. The next prime is 1028939375309. The reversal of 1028939375268 is 8625739398201.

1028939375268 is a `hidden beast` number, since 1 + 0 + 289 + 3 + 93 + 7 + 5 + 268 = 666.

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, 182465593 + ... + 182471231.

It is an arithmetic number, because the mean of its divisors is an integer number (11036712960).

Almost surely, 2^{1028939375268} is an apocalyptic number.

1028939375268 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 1028939375268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589286666240).

1028939375268 is an abundant number, since it is smaller than the sum of its proper divisors (2149633957212).

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

1028939375268 is a wasteful number, since it uses less digits than its factorization.

1028939375268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1028939375268 in words is "one trillion, twenty-eight billion, nine hundred thirty-nine million, three hundred seventy-five thousand, two hundred sixty-eight".