10212265728 has 144 divisors (see below), whose sum is σ = 34513839360. Its totient is φ = 2917776384.

The previous prime is 10212265681. The next prime is 10212265747. The reversal of 10212265728 is 82756221201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10212265692 and 10212265701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57150 + ... + 153917.

It is an arithmetic number, because the mean of its divisors is an integer number (239679440).

Almost surely, 2^10212265728 is an apocalyptic number.

10212265728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10212265728 is an abundant number, since it is smaller than the sum of its proper divisors (24301573632).

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

10212265728 is an equidigital number, since it uses as much as digits as its factorization.

10212265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211099 (or 211079 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 10212265728 its reverse (82756221201), we get a palindrome (92968486929).

The spelling of 10212265728 in words is "ten billion, two hundred twelve million, two hundred sixty-five thousand, seven hundred twenty-eight".