280028669069952 has 1280 divisors, whose sum is σ = 951943317811200. Its totient is φ = 80964209664000.

The previous prime is 280028669069909. The next prime is 280028669069957. The reversal of 280028669069952 is 259960966820082.

280028669069952 is a `hidden beast` number, since 280 + 0 + 286 + 6 + 9 + 0 + 69 + 9 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (280028669069957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50337705123 + ... + 50337710685.

It is an arithmetic number, because the mean of its divisors is an integer number (743705717040).

Almost surely, 2^{280028669069952} is an apocalyptic number.

280028669069952 is a gapful number since it is divisible by the number (22) 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 280028669069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475971658905600).

280028669069952 is an abundant number, since it is smaller than the sum of its proper divisors (671914648741248).

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

280028669069952 is a wasteful number, since it uses less digits than its factorization.

280028669069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 280028669069952 in words is "two hundred eighty trillion, twenty-eight billion, six hundred sixty-nine million, sixty-nine thousand, nine hundred fifty-two".