10623193728 has 192 divisors, whose sum is σ = 33714223200. Its totient is φ = 2952972288.

The previous prime is 10623193723. The next prime is 10623193781. The reversal of 10623193728 is 82739132601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10623193728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10623193728.

It is not an unprimeable number, because it can be changed into a prime (10623193723) 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, 688563 + ... + 703821.

Almost surely, 2^10623193728 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 10623193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857111600).

10623193728 is an abundant number, since it is smaller than the sum of its proper divisors (23091029472).

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

10623193728 is a wasteful number, since it uses less digits than its factorization.

10623193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327 (or 15308 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10623193728 in words is "ten billion, six hundred twenty-three million, one hundred ninety-three thousand, seven hundred twenty-eight".