280008960 has 288 divisors, whose sum is σ = 1116122112. Its totient is φ = 58122240.

The previous prime is 280008959. The next prime is 280009003. The reversal of 280008960 is 69800082.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295207 + ... + 296153.

It is an arithmetic number, because the mean of its divisors is an integer number (3875424).

Almost surely, 2^280008960 is an apocalyptic number.

280008960 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 280008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558061056).

280008960 is an abundant number, since it is smaller than the sum of its proper divisors (836113152).

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

280008960 is a wasteful number, since it uses less digits than its factorization.

280008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 280008960 is about 16733.4682597482. The cubic root of 280008960 is about 654.2202402381.

The spelling of 280008960 in words is "two hundred eighty million, eight thousand, nine hundred sixty".