288882720 has 384 divisors, whose sum is σ = 1188794880. Its totient is φ = 64143360.

The previous prime is 288882719. The next prime is 288882749. The reversal of 288882720 is 27288882.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239724 + ... + 1239956.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^288882720 is an apocalyptic number.

288882720 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 288882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

288882720 is an abundant number, since it is smaller than the sum of its proper divisors (899912160).

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

288882720 is a wasteful number, since it uses less digits than its factorization.

288882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

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

The square root of 288882720 is about 16996.5502382101. The cubic root of 288882720 is about 661.0594554393.

The spelling of 288882720 in words is "two hundred eighty-eight million, eight hundred eighty-two thousand, seven hundred twenty".