10363967328 has 384 divisors, whose sum is σ = 33224615424. Its totient is φ = 2786918400.

The previous prime is 10363967323. The next prime is 10363967359. The reversal of 10363967328 is 82376936301.

It is a super-3 number, since 3×10363967328³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363967323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57259398 + ... + 57259578.

It is an arithmetic number, because the mean of its divisors is an integer number (86522436).

Almost surely, 2^10363967328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10363967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612307712).

10363967328 is an abundant number, since it is smaller than the sum of its proper divisors (22860648096).

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

10363967328 is a wasteful number, since it uses less digits than its factorization.

10363967328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 10363967328 in words is "ten billion, three hundred sixty-three million, nine hundred sixty-seven thousand, three hundred twenty-eight".