288916740 has 288 divisors, whose sum is σ = 1068681600. Its totient is φ = 64592640.

The previous prime is 288916739. The next prime is 288916753. The reversal of 288916740 is 47619882.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1613971 + ... + 1614149.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^288916740 is an apocalyptic number.

288916740 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 288916740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

288916740 is an abundant number, since it is smaller than the sum of its proper divisors (779764860).

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

288916740 is a wasteful number, since it uses less digits than its factorization.

288916740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 288916740 is about 16997.5510000706. The cubic root of 288916740 is about 661.0854041010.

The spelling of 288916740 in words is "two hundred eighty-eight million, nine hundred sixteen thousand, seven hundred forty".