288930280 has 48 divisors (see below), whose sum is σ = 666490860. Its totient is φ = 112727040.

The previous prime is 288930269. The next prime is 288930307. The reversal of 288930280 is 82039882.

It can be written as a sum of positive squares in 6 ways, for example, as 8099716 + 280830564 = 2846^2 + 16758^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65092 + ... + 69388.

Almost surely, 2^288930280 is an apocalyptic number.

288930280 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 288930280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333245430).

288930280 is an abundant number, since it is smaller than the sum of its proper divisors (377560580).

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

288930280 is a wasteful number, since it uses less digits than its factorization.

288930280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 288930280 is about 16997.9492880759. The cubic root of 288930280 is about 661.0957311322.

The spelling of 288930280 in words is "two hundred eighty-eight million, nine hundred thirty thousand, two hundred eighty".