11028433747968 has 960 divisors, whose sum is σ = 42336012544000. Its totient is φ = 2755322707968.

The previous prime is 11028433747817. The next prime is 11028433748011. The reversal of 11028433747968 is 86974733482011.

11028433747968 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 8 + 433 + 74 + 79 + 68 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764847063 + ... + 764861481.

Almost surely, 2^{11028433747968} is an apocalyptic number.

11028433747968 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 11028433747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168006272000).

11028433747968 is an abundant number, since it is smaller than the sum of its proper divisors (31307578796032).

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

11028433747968 is a wasteful number, since it uses less digits than its factorization.

11028433747968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14495 (or 14463 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 11028433747968 in words is "eleven trillion, twenty-eight billion, four hundred thirty-three million, seven hundred forty-seven thousand, nine hundred sixty-eight".