288872280 has 96 divisors (see below), whose sum is σ = 960719760. Its totient is φ = 75237120.

The previous prime is 288872267. The next prime is 288872299. The reversal of 288872280 is 82278882.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6150 + ... + 24810.

Almost surely, 2^288872280 is an apocalyptic number.

288872280 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 288872280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480359880).

288872280 is an abundant number, since it is smaller than the sum of its proper divisors (671847480).

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

288872280 is a wasteful number, since it uses less digits than its factorization.

288872280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18721 (or 18714 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 288872280 is about 16996.2431142885. The cubic root of 288872280 is about 661.0514919494.

The spelling of 288872280 in words is "two hundred eighty-eight million, eight hundred seventy-two thousand, two hundred eighty".