280828800 has 432 divisors, whose sum is σ = 1171521000. Its totient is φ = 63866880.

The previous prime is 280828777. The next prime is 280828841. The reversal of 280828800 is 8828082.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411101 + ... + 1411299.

Almost surely, 2^280828800 is an apocalyptic number.

280828800 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 280828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585760500).

280828800 is an abundant number, since it is smaller than the sum of its proper divisors (890692200).

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

280828800 is a wasteful number, since it uses less digits than its factorization.

280828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 280828800 is about 16757.9473683384. The cubic root of 280828800 is about 654.8581166176.

The spelling of 280828800 in words is "two hundred eighty million, eight hundred twenty-eight thousand, eight hundred".