280648368 has 480 divisors, whose sum is σ = 1108262400. Its totient is φ = 66147840.

The previous prime is 280648351. The next prime is 280648391. The reversal of 280648368 is 863846082.

It is a happy number.

280648368 is a `hidden beast` number, since 280 + 6 + 4 + 8 + 368 = 666.

It is a super-2 number, since 2×280648368² = 157527012922126848, which contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4756723 + ... + 4756781.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^280648368 is an apocalyptic number.

280648368 is a gapful number since it is divisible by the number (28) 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 280648368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554131200).

280648368 is an abundant number, since it is smaller than the sum of its proper divisors (827614032).

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

280648368 is a wasteful number, since it uses less digits than its factorization.

280648368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 280648368 is about 16752.5630277877. The cubic root of 280648368 is about 654.7178381822.

The spelling of 280648368 in words is "two hundred eighty million, six hundred forty-eight thousand, three hundred sixty-eight".