10704457728 has 624 divisors, whose sum is σ = 36800524800. Its totient is φ = 2972712960.

The previous prime is 10704457723. The next prime is 10704457741. The reversal of 10704457728 is 82775440701.

10704457728 is a `hidden beast` number, since 1 + 0 + 70 + 4 + 4 + 577 + 2 + 8 = 666.

It is a super-2 number, since 2×10704457728² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10704457721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345305073 + ... + 345305103.

It is an arithmetic number, because the mean of its divisors is an integer number (58975200).

Almost surely, 2^10704457728 is an apocalyptic number.

10704457728 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 10704457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400262400).

10704457728 is an abundant number, since it is smaller than the sum of its proper divisors (26096067072).

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

10704457728 is a wasteful number, since it uses less digits than its factorization.

10704457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 10704457728 in words is "ten billion, seven hundred four million, four hundred fifty-seven thousand, seven hundred twenty-eight".