28906820352 has 144 divisors (see below), whose sum is σ = 86514180480. Its totient is φ = 9519326208.

The previous prime is 28906820351. The next prime is 28906820353. The reversal of 28906820352 is 25302860982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28906820351) and next prime (28906820353).

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

It is a junction number, because it is equal to n+sod(n) for n = 28906820298 and 28906820307.

It is not an unprimeable number, because it can be changed into a prime (28906820351) 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 15 ways as a sum of consecutive naturals, for example, 548503 + ... + 598889.

It is an arithmetic number, because the mean of its divisors is an integer number (600792920).

Almost surely, 2^28906820352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28906820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43257090240).

28906820352 is an abundant number, since it is smaller than the sum of its proper divisors (57607360128).

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

28906820352 is an equidigital number, since it uses as much as digits as its factorization.

28906820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50495 (or 50475 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28906820352 in words is "twenty-eight billion, nine hundred six million, eight hundred twenty thousand, three hundred fifty-two".