288253280 has 72 divisors (see below), whose sum is σ = 792203328. Its totient is φ = 98827008.

The previous prime is 288253267. The next prime is 288253307. The reversal of 288253280 is 82352882.

It is a congruent number.

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, 10544 + ... + 26223.

It is an arithmetic number, because the mean of its divisors is an integer number (11002824).

Almost surely, 2^288253280 is an apocalyptic number.

288253280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288253280 is an abundant number, since it is smaller than the sum of its proper divisors (503950048).

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

288253280 is a wasteful number, since it uses less digits than its factorization.

288253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36796 (or 36781 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 288253280 is about 16978.0234420854. The cubic root of 288253280 is about 660.5789838275.

The spelling of 288253280 in words is "two hundred eighty-eight million, two hundred fifty-three thousand, two hundred eighty".