288938880 has 256 divisors, whose sum is σ = 1069286400. Its totient is φ = 73598976.

The previous prime is 288938869. The next prime is 288938893. The reversal of 288938880 is 88839882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397077 + ... + 397803.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^288938880 is an apocalyptic number.

288938880 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 288938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

288938880 is an abundant number, since it is smaller than the sum of its proper divisors (780347520).

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

288938880 is a wasteful number, since it uses less digits than its factorization.

288938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 288938880 is about 16998.2022578860. The cubic root of 288938880 is about 661.1022902311.

It can be divided in two parts, 28893 and 8880, that added together give a palindrome (37773).

The spelling of 288938880 in words is "two hundred eighty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".