288500940 has 480 divisors, whose sum is σ = 1183902720. Its totient is φ = 57106944.

The previous prime is 288500939. The next prime is 288500941. The reversal of 288500940 is 49005882.

It is an interprime number because it is at equal distance from previous prime (288500939) and next prime (288500941).

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 = 288500895 and 288500904.

It is not an unprimeable number, because it can be changed into a prime (288500941) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2800929 + ... + 2801031.

It is an arithmetic number, because the mean of its divisors is an integer number (2466464).

Almost surely, 2^288500940 is an apocalyptic number.

288500940 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 288500940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591951360).

288500940 is an abundant number, since it is smaller than the sum of its proper divisors (895401780).

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

288500940 is a wasteful number, since it uses less digits than its factorization.

288500940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 288500940 is about 16985.3154224465. The cubic root of 288500940 is about 660.7681139797.

The spelling of 288500940 in words is "two hundred eighty-eight million, five hundred thousand, nine hundred forty".