10728956160 has 432 divisors, whose sum is σ = 41283959808. Its totient is φ = 2554675200.

The previous prime is 10728956159. The next prime is 10728956167. The reversal of 10728956160 is 6165982701.

10728956160 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 89 + 561 + 6 + 0 = 666.

It is a super-2 number, since 2×10728956160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10728956167) 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, 4641405 + ... + 4643715.

Almost surely, 2^10728956160 is an apocalyptic number.

10728956160 is a gapful number since it is divisible by the number (10) 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 10728956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20641979904).

10728956160 is an abundant number, since it is smaller than the sum of its proper divisors (30555003648).

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

10728956160 is a wasteful number, since it uses less digits than its factorization.

10728956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10728956160 in words is "ten billion, seven hundred twenty-eight million, nine hundred fifty-six thousand, one hundred sixty".