10734834528 has 192 divisors, whose sum is σ = 35642073600. Its totient is φ = 3111482880.

The previous prime is 10734834521. The next prime is 10734834533. The reversal of 10734834528 is 82543843701.

10734834528 is a `hidden beast` number, since 10 + 7 + 34 + 83 + 4 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10734834521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194038 + ... + 243146.

It is an arithmetic number, because the mean of its divisors is an integer number (185635800).

Almost surely, 2^10734834528 is an apocalyptic number.

10734834528 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 10734834528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821036800).

10734834528 is an abundant number, since it is smaller than the sum of its proper divisors (24907239072).

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

10734834528 is a wasteful number, since it uses less digits than its factorization.

10734834528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49162 (or 49148 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 1073 and 4834528, that added together give a square (4835601 = 2199²).

The spelling of 10734834528 in words is "ten billion, seven hundred thirty-four million, eight hundred thirty-four thousand, five hundred twenty-eight".