10412893728 has 72 divisors (see below), whose sum is σ = 29622902400. Its totient is φ = 3469647744.

The previous prime is 10412893721. The next prime is 10412893781. The reversal of 10412893728 is 82739821401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10412893721) 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, 1019913 + ... + 1030071.

It is an arithmetic number, because the mean of its divisors is an integer number (411429200).

Almost surely, 2^10412893728 is an apocalyptic number.

10412893728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10412893728 is an abundant number, since it is smaller than the sum of its proper divisors (19210008672).

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

10412893728 is a wasteful number, since it uses less digits than its factorization.

10412893728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10412893728 in words is "ten billion, four hundred twelve million, eight hundred ninety-three thousand, seven hundred twenty-eight".