10350563328 has 156 divisors (see below), whose sum is σ = 34169968768. Its totient is φ = 2957230080.

The previous prime is 10350563323. The next prime is 10350563341. The reversal of 10350563328 is 82336505301.

10350563328 is a `hidden beast` number, since 10 + 3 + 5 + 0 + 5 + 633 + 2 + 8 = 666.

It is a super-2 number, since 2×10350563328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10350563292 and 10350563301.

It is not an unprimeable number, because it can be changed into a prime (10350563323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237993 + ... + 278103.

Almost surely, 2^10350563328 is an apocalyptic number.

10350563328 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 10350563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084984384).

10350563328 is an abundant number, since it is smaller than the sum of its proper divisors (23819405440).

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

10350563328 is an equidigital number, since it uses as much as digits as its factorization.

10350563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40148 (or 40123 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10350563328 in words is "ten billion, three hundred fifty million, five hundred sixty-three thousand, three hundred twenty-eight".