28800289152 has 128 divisors (see below), whose sum is σ = 90001087200. Its totient is φ = 9035366400.

The previous prime is 28800289139. The next prime is 28800289159. The reversal of 28800289152 is 25198200882.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 28800289098 and 28800289107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28800289159) by changing a digit.

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, 186349 + ... + 303852.

Almost surely, 2^28800289152 is an apocalyptic number.

It is an amenable number.

28800289152 is an abundant number, since it is smaller than the sum of its proper divisors (61200798048).

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

28800289152 is a wasteful number, since it uses less digits than its factorization.

28800289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490241 (or 490223 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 28800289152 in words is "twenty-eight billion, eight hundred million, two hundred eighty-nine thousand, one hundred fifty-two".