288897840 has 480 divisors, whose sum is σ = 1260919296. Its totient is φ = 59719680.

The previous prime is 288897839. The next prime is 288897841. The reversal of 288897840 is 48798882.

It is an interprime number because it is at equal distance from previous prime (288897839) and next prime (288897841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288897841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496784 + ... + 1496976.

Almost surely, 2^288897840 is an apocalyptic number.

288897840 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 288897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630459648).

288897840 is an abundant number, since it is smaller than the sum of its proper divisors (972021456).

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

288897840 is a wasteful number, since it uses less digits than its factorization.

288897840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 288897840 is about 16996.9950285337. The cubic root of 288897840 is about 661.0709884293.

The spelling of 288897840 in words is "two hundred eighty-eight million, eight hundred ninety-seven thousand, eight hundred forty".