10003728448 has 112 divisors (see below), whose sum is σ = 23081488000. Its totient is φ = 4213223424.

The previous prime is 10003728419. The next prime is 10003728461. The reversal of 10003728448 is 84482730001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10003728448² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16318990 + ... + 16319602.

Almost surely, 2^10003728448 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 10003728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540744000).

10003728448 is an abundant number, since it is smaller than the sum of its proper divisors (13077759552).

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

10003728448 is an equidigital number, since it uses as much as digits as its factorization.

10003728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 10003728448 in words is "ten billion, three million, seven hundred twenty-eight thousand, four hundred forty-eight".