280456128 has 112 divisors (see below), whose sum is σ = 832612000. Its totient is φ = 92565504.

The previous prime is 280456103. The next prime is 280456147. The reversal of 280456128 is 821654082.

280456128 is a `hidden beast` number, since 2 + 80 + 456 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 280456092 and 280456101.

It is a congruent number.

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, 187608 + ... + 189096.

Almost surely, 2^280456128 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 280456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416306000).

280456128 is an abundant number, since it is smaller than the sum of its proper divisors (552155872).

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

280456128 is a wasteful number, since it uses less digits than its factorization.

280456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 280456128 is about 16746.8244153929. The cubic root of 280456128 is about 654.5683133431.

The spelling of 280456128 in words is "two hundred eighty million, four hundred fifty-six thousand, one hundred twenty-eight".