283880520 has 576 divisors, whose sum is σ = 1244880000. Its totient is φ = 55883520.

The previous prime is 283880503. The next prime is 283880543. The reversal of 283880520 is 25088382.

283880520 is a `hidden beast` number, since 28 + 38 + 80 + 520 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14941071 + ... + 14941089.

It is an arithmetic number, because the mean of its divisors is an integer number (2161250).

Almost surely, 2^283880520 is an apocalyptic number.

283880520 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 283880520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440000).

283880520 is an abundant number, since it is smaller than the sum of its proper divisors (960999480).

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

283880520 is a wasteful number, since it uses less digits than its factorization.

283880520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

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

The square root of 283880520 is about 16848.7542566209. The cubic root of 283880520 is about 657.2216539773.

The spelling of 283880520 in words is "two hundred eighty-three million, eight hundred eighty thousand, five hundred twenty".