283505280 has 128 divisors (see below), whose sum is σ = 910656000. Its totient is φ = 75018240.

The previous prime is 283505273. The next prime is 283505281. The reversal of 283505280 is 82505382.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (283505281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285585 + ... + 286575.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^283505280 is an apocalyptic number.

283505280 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 283505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

283505280 is an abundant number, since it is smaller than the sum of its proper divisors (627150720).

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

283505280 is a wasteful number, since it uses less digits than its factorization.

283505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 283505280 is about 16837.6150330146. The cubic root of 283505280 is about 656.9319492402.

The spelling of 283505280 in words is "two hundred eighty-three million, five hundred five thousand, two hundred eighty".