288028387745280 has 2560 divisors, whose sum is σ = 1273264425861120. Its totient is φ = 60096365199360.

The previous prime is 288028387745237. The next prime is 288028387745317. The reversal of 288028387745280 is 82547783820882.

288028387745280 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 28 + 3 + 8 + 7 + 74 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 288028387745199 and 288028387745208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 236670819232 + ... + 236670820448.

It is an arithmetic number, because the mean of its divisors is an integer number (497368916352).

Almost surely, 2^{288028387745280} is an apocalyptic number.

288028387745280 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 288028387745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636632212930560).

288028387745280 is an abundant number, since it is smaller than the sum of its proper divisors (985236038115840).

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

288028387745280 is a wasteful number, since it uses less digits than its factorization.

288028387745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 770703360, while the sum is 72.

The spelling of 288028387745280 in words is "two hundred eighty-eight trillion, twenty-eight billion, three hundred eighty-seven million, seven hundred forty-five thousand, two hundred eighty".