280828020 has 96 divisors (see below), whose sum is σ = 860590080. Its totient is φ = 67858560.

The previous prime is 280828003. The next prime is 280828043. The reversal of 280828020 is 20828082.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 305121 + ... + 306039.

It is an arithmetic number, because the mean of its divisors is an integer number (8964480).

Almost surely, 2^280828020 is an apocalyptic number.

280828020 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 280828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430295040).

280828020 is an abundant number, since it is smaller than the sum of its proper divisors (579762060).

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

280828020 is a wasteful number, since it uses less digits than its factorization.

280828020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 280828020 is about 16757.9240957823. The cubic root of 280828020 is about 654.8575103292.

The spelling of 280828020 in words is "two hundred eighty million, eight hundred twenty-eight thousand, twenty".