1033028131968 has 896 divisors, whose sum is σ = 3855524797440. Its totient is φ = 268738560000.

The previous prime is 1033028131963. The next prime is 1033028132011. The reversal of 1033028131968 is 8691318203301.

1033028131968 is a `hidden beast` number, since 1 + 0 + 330 + 281 + 31 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is not an unprimeable number, because it can be changed into a prime (1033028131963) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 344226468 + ... + 344229468.

Almost surely, 2^{1033028131968} is an apocalyptic number.

1033028131968 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 1033028131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927762398720).

1033028131968 is an abundant number, since it is smaller than the sum of its proper divisors (2822496665472).

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

1033028131968 is an equidigital number, since it uses as much as digits as its factorization.

1033028131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1033028131968 in words is "one trillion, thirty-three billion, twenty-eight million, one hundred thirty-one thousand, nine hundred sixty-eight".