10754089728 has 144 divisors (see below), whose sum is σ = 29085302400. Its totient is φ = 3527147520.

The previous prime is 10754089727. The next prime is 10754089771. The reversal of 10754089728 is 82798045701.

It is a super-2 number, since 2×10754089728² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10754089727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13984128 + ... + 13984896.

Almost surely, 2^10754089728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10754089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14542651200).

10754089728 is an abundant number, since it is smaller than the sum of its proper divisors (18331212672).

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

10754089728 is a wasteful number, since it uses less digits than its factorization.

10754089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 10754089728 in words is "ten billion, seven hundred fifty-four million, eighty-nine thousand, seven hundred twenty-eight".