10634446728 has 96 divisors (see below), whose sum is σ = 29545027200. Its totient is φ = 3453992064.

The previous prime is 10634446721. The next prime is 10634446751. The reversal of 10634446728 is 82764443601.

10634446728 is a `hidden beast` number, since 1 + 0 + 634 + 4 + 4 + 6 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×10634446728² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10634446721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768075 + ... + 781797.

It is an arithmetic number, because the mean of its divisors is an integer number (307760700).

Almost surely, 2^10634446728 is an apocalyptic number.

10634446728 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 10634446728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772513600).

10634446728 is an abundant number, since it is smaller than the sum of its proper divisors (18910580472).

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

10634446728 is a wasteful number, since it uses less digits than its factorization.

10634446728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14011 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10634446728 in words is "ten billion, six hundred thirty-four million, four hundred forty-six thousand, seven hundred twenty-eight".