288868420 has 48 divisors (see below), whose sum is σ = 664478640. Its totient is φ = 104996864.

The previous prime is 288868409. The next prime is 288868427. The reversal of 288868420 is 24868882.

It can be written as a sum of positive squares in 8 ways, for example, as 10445824 + 278422596 = 3232^2 + 16686^2 .

It is not an unprimeable number, because it can be changed into a prime (288868427) 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, 4789 + ... + 24508.

It is an arithmetic number, because the mean of its divisors is an integer number (13843305).

Almost surely, 2^288868420 is an apocalyptic number.

288868420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288868420 is an abundant number, since it is smaller than the sum of its proper divisors (375610220).

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

288868420 is a wasteful number, since it uses less digits than its factorization.

288868420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29352 (or 29350 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 288868420 is about 16996.1295594026. The cubic root of 288868420 is about 661.0485475454.

The spelling of 288868420 in words is "two hundred eighty-eight million, eight hundred sixty-eight thousand, four hundred twenty".