28890642960 has 240 divisors, whose sum is σ = 98614938240. Its totient is φ = 7578869760.

The previous prime is 28890642959. The next prime is 28890642971. The reversal of 28890642960 is 6924609882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 28890642897 and 28890642906.

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 47 ways as a sum of consecutive naturals, for example, 12500205 + ... + 12502515.

It is an arithmetic number, because the mean of its divisors is an integer number (410895576).

Almost surely, 2^28890642960 is an apocalyptic number.

28890642960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28890642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49307469120).

28890642960 is an abundant number, since it is smaller than the sum of its proper divisors (69724295280).

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

28890642960 is a wasteful number, since it uses less digits than its factorization.

28890642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 28890642960 in words is "twenty-eight billion, eight hundred ninety million, six hundred forty-two thousand, nine hundred sixty".