10509827328 has 1152 divisors, whose sum is σ = 43954176000. Its totient is φ = 2438553600.

The previous prime is 10509827323. The next prime is 10509827369. The reversal of 10509827328 is 82372890501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10509827328² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509827323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 339026673 + ... + 339026703.

Almost surely, 2^10509827328 is an apocalyptic number.

10509827328 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 10509827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977088000).

10509827328 is an abundant number, since it is smaller than the sum of its proper divisors (33444348672).

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

10509827328 is a wasteful number, since it uses less digits than its factorization.

10509827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10509827328 in words is "ten billion, five hundred nine million, eight hundred twenty-seven thousand, three hundred twenty-eight".