825300028028 has 96 divisors (see below), whose sum is σ = 1689617803776. Its totient is φ = 345449981952.

The previous prime is 825300028009. The next prime is 825300028067. The reversal of 825300028028 is 820820003528.

It is a super-2 number, since 2×825300028028² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825300027982 and 825300028000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94283300 + ... + 94292052.

It is an arithmetic number, because the mean of its divisors is an integer number (17600185456).

Almost surely, 2^825300028028 is an apocalyptic number.

It is an amenable number.

825300028028 is an abundant number, since it is smaller than the sum of its proper divisors (864317775748).

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

825300028028 is a wasteful number, since it uses less digits than its factorization.

825300028028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 825300028028 in words is "eight hundred twenty-five billion, three hundred million, twenty-eight thousand, twenty-eight".