288141840 has 640 divisors, whose sum is σ = 1285632000. Its totient is φ = 57729024.

The previous prime is 288141817. The next prime is 288141863. The reversal of 288141840 is 48141882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (288141817) and next prime (288141863).

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

It is a junction number, because it is equal to n+sod(n) for n = 288141795 and 288141804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4883731 + ... + 4883789.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^288141840 is an apocalyptic number.

288141840 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 288141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

288141840 is an abundant number, since it is smaller than the sum of its proper divisors (997490160).

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

288141840 is a wasteful number, since it uses less digits than its factorization.

288141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 288141840 is about 16974.7412351411. The cubic root of 288141840 is about 660.4938452640.

The spelling of 288141840 in words is "two hundred eighty-eight million, one hundred forty-one thousand, eight hundred forty".