280200096 has 144 divisors (see below), whose sum is σ = 875242368. Its totient is φ = 84326400.

The previous prime is 280200079. The next prime is 280200113. The reversal of 280200096 is 690002082.

280200096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (280200079) and next prime (280200113).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763305 + ... + 763671.

It is an arithmetic number, because the mean of its divisors is an integer number (6078072).

Almost surely, 2^280200096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437621184).

280200096 is an abundant number, since it is smaller than the sum of its proper divisors (595042272).

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

280200096 is a wasteful number, since it uses less digits than its factorization.

280200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 280200096 is about 16739.1784744652. The cubic root of 280200096 is about 654.3690647595.

The spelling of 280200096 in words is "two hundred eighty million, two hundred thousand, ninety-six".