288877920 has 96 divisors (see below), whose sum is σ = 918957312. Its totient is φ = 76273152.

The previous prime is 288877879. The next prime is 288877921. The reversal of 288877920 is 29778882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288877921) 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, 46519 + ... + 52361.

It is an arithmetic number, because the mean of its divisors is an integer number (9572472).

Almost surely, 2^288877920 is an apocalyptic number.

288877920 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 288877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459478656).

288877920 is an abundant number, since it is smaller than the sum of its proper divisors (630079392).

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

288877920 is a wasteful number, since it uses less digits than its factorization.

288877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 288877920 is about 16996.4090324986. The cubic root of 288877920 is about 661.0557940885.

It can be divided in two parts, 2888 and 77920, that added together give a palindrome (80808).

The spelling of 288877920 in words is "two hundred eighty-eight million, eight hundred seventy-seven thousand, nine hundred twenty".