10164573828 has 36 divisors (see below), whose sum is σ = 25723161100. Its totient is φ = 3384317376.

The previous prime is 10164573821. The next prime is 10164573829. The reversal of 10164573828 is 82837546101.

10164573828 is a `hidden beast` number, since 10 + 1 + 64 + 573 + 8 + 2 + 8 = 666.

10164573828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8523351684 + 1641222144 = 92322^2 + 40512^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10164573828² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10164573821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129403 + ... + 192546.

Almost surely, 2^10164573828 is an apocalyptic number.

10164573828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10164573828 is an abundant number, since it is smaller than the sum of its proper divisors (15558587272).

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

10164573828 is a wasteful number, since it uses less digits than its factorization.

10164573828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322836 (or 322831 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10164573828 in words is "ten billion, one hundred sixty-four million, five hundred seventy-three thousand, eight hundred twenty-eight".