280205328 has 80 divisors (see below), whose sum is σ = 782894336. Its totient is φ = 85847040.

The previous prime is 280205291. The next prime is 280205351. The reversal of 280205328 is 823502082.

It is a junction number, because it is equal to n+sod(n) for n = 280205295 and 280205304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168276 + ... + 169932.

Almost surely, 2^280205328 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 280205328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391447168).

280205328 is an abundant number, since it is smaller than the sum of its proper divisors (502689008).

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

280205328 is a wasteful number, since it uses less digits than its factorization.

280205328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 280205328 is about 16739.3347538067. The cubic root of 280205328 is about 654.3731376081.

It can be divided in two parts, 28020 and 5328, that multiplied together give a triangular number (149290560 = T₁₇₂₇₉).

The spelling of 280205328 in words is "two hundred eighty million, two hundred five thousand, three hundred twenty-eight".