288277020 has 72 divisors (see below), whose sum is σ = 878230080. Its totient is φ = 76540800.

The previous prime is 288277013. The next prime is 288277037. The reversal of 288277020 is 20772882.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39670 + ... + 46370.

It is an arithmetic number, because the mean of its divisors is an integer number (12197640).

Almost surely, 2^288277020 is an apocalyptic number.

288277020 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 288277020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439115040).

288277020 is an abundant number, since it is smaller than the sum of its proper divisors (589953060).

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

288277020 is a wasteful number, since it uses less digits than its factorization.

288277020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 288277020 is about 16978.7225667893. The cubic root of 288277020 is about 660.5971180121.

The spelling of 288277020 in words is "two hundred eighty-eight million, two hundred seventy-seven thousand, twenty".