10466729928 has 60 divisors (see below), whose sum is σ = 29323831515. Its totient is φ = 3488041872.

The previous prime is 10466729891. The next prime is 10466729939. The reversal of 10466729928 is 82992766401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10466729928 is a `hidden beast` number, since 1 + 0 + 466 + 72 + 99 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5233364964 + 5233364964 = 72342^2 + 72342^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=72342.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2602303 + ... + 2606321.

Almost surely, 2^10466729928 is an apocalyptic number.

10466729928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10466729928 is an abundant number, since it is smaller than the sum of its proper divisors (18857101587).

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

10466729928 is an frugal number, since it uses more digits than its factorization.

10466729928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10466729928 in words is "ten billion, four hundred sixty-six million, seven hundred twenty-nine thousand, nine hundred twenty-eight".