10812529728 has 1344 divisors, whose sum is σ = 46700236800. Its totient is φ = 2403717120.

The previous prime is 10812529699. The next prime is 10812529753. The reversal of 10812529728 is 82792521801.

10812529728 is a `hidden beast` number, since 108 + 12 + 529 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230053801 + ... + 230053847.

It is an arithmetic number, because the mean of its divisors is an integer number (34747200).

Almost surely, 2^10812529728 is an apocalyptic number.

10812529728 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 10812529728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

10812529728 is an abundant number, since it is smaller than the sum of its proper divisors (35887707072).

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

10812529728 is a wasteful number, since it uses less digits than its factorization.

10812529728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10812529728 in words is "ten billion, eight hundred twelve million, five hundred twenty-nine thousand, seven hundred twenty-eight".