288161820 has 48 divisors (see below), whose sum is σ = 896505120. Its totient is φ = 76843008.

The previous prime is 288161789. The next prime is 288161821. The reversal of 288161820 is 28161882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288161821) 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, 266277 + ... + 267356.

It is an arithmetic number, because the mean of its divisors is an integer number (18677190).

Almost surely, 2^288161820 is an apocalyptic number.

288161820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288161820 is an abundant number, since it is smaller than the sum of its proper divisors (608343300).

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

288161820 is a wasteful number, since it uses less digits than its factorization.

288161820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533651 (or 533643 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 288161820 is about 16975.3297464291. The cubic root of 288161820 is about 660.5091113126.

The spelling of 288161820 in words is "two hundred eighty-eight million, one hundred sixty-one thousand, eight hundred twenty".