28628258880 has 224 divisors, whose sum is σ = 98111462400. Its totient is φ = 7030775808.

The previous prime is 28628258849. The next prime is 28628258881. The reversal of 28628258880 is 8885282682.

It is a self number, because there is not a number n which added to its sum of digits gives 28628258880.

It is not an unprimeable number, because it can be changed into a prime (28628258881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5975526 + ... + 5980314.

It is an arithmetic number, because the mean of its divisors is an integer number (437997600).

Almost surely, 2^28628258880 is an apocalyptic number.

28628258880 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 28628258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49055731200).

28628258880 is an abundant number, since it is smaller than the sum of its proper divisors (69483203520).

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

28628258880 is a wasteful number, since it uses less digits than its factorization.

28628258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 57.

The spelling of 28628258880 in words is "twenty-eight billion, six hundred twenty-eight million, two hundred fifty-eight thousand, eight hundred eighty".