28162816101 has 72 divisors (see below), whose sum is σ = 51224322240. Its totient is φ = 15245777232.

The previous prime is 28162816061. The next prime is 28162816133. The reversal of 28162816101 is 10161826182.

28162816101 is a `hidden beast` number, since 2 + 8 + 1 + 628 + 16 + 10 + 1 = 666.

It is not a de Polignac number, because 28162816101 - 2⁶ = 28162816037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28162816151) 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 71 ways as a sum of consecutive naturals, for example, 448120 + ... + 507086.

It is an arithmetic number, because the mean of its divisors is an integer number (711448920).

Almost surely, 2^28162816101 is an apocalyptic number.

28162816101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

28162816101 is a deficient number, since it is larger than the sum of its proper divisors (23061506139).

28162816101 is a wasteful number, since it uses less digits than its factorization.

28162816101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59028 (or 58996 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 28162816101 in words is "twenty-eight billion, one hundred sixty-two million, eight hundred sixteen thousand, one hundred one".