28417445280 has 288 divisors, whose sum is σ = 111194463744. Its totient is φ = 6473945088.

The previous prime is 28417445233. The next prime is 28417445291. The reversal of 28417445280 is 8254471482.

28417445280 is a `hidden beast` number, since 2 + 84 + 1 + 7 + 44 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3150537 + ... + 3159543.

It is an arithmetic number, because the mean of its divisors is an integer number (386091888).

Almost surely, 2^28417445280 is an apocalyptic number.

28417445280 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 28417445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55597231872).

28417445280 is an abundant number, since it is smaller than the sum of its proper divisors (82777018464).

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

28417445280 is a wasteful number, since it uses less digits than its factorization.

28417445280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9337 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 28417445280 in words is "twenty-eight billion, four hundred seventeen million, four hundred forty-five thousand, two hundred eighty".