28249858560 has 1280 divisors, whose sum is σ = 123091550208. Its totient is φ = 5352652800.

The previous prime is 28249858543. The next prime is 28249858607. The reversal of 28249858560 is 6585894282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28249858560.

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 127 ways as a sum of consecutive naturals, for example, 421639647 + ... + 421639713.

Almost surely, 2^28249858560 is an apocalyptic number.

28249858560 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 28249858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61545775104).

28249858560 is an abundant number, since it is smaller than the sum of its proper divisors (94841691648).

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

28249858560 is a wasteful number, since it uses less digits than its factorization.

28249858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 28249858560 in words is "twenty-eight billion, two hundred forty-nine million, eight hundred fifty-eight thousand, five hundred sixty".