288950220 has 96 divisors (see below), whose sum is σ = 968130240. Its totient is φ = 71124480.

The previous prime is 288950209. The next prime is 288950231. The reversal of 288950220 is 22059882.

It is an interprime number because it is at equal distance from previous prime (288950209) and next prime (288950231).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13561 + ... + 27600.

It is an arithmetic number, because the mean of its divisors is an integer number (10084690).

Almost surely, 2^288950220 is an apocalyptic number.

288950220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288950220 is an abundant number, since it is smaller than the sum of its proper divisors (679180020).

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

288950220 is a wasteful number, since it uses less digits than its factorization.

288950220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41192 (or 41184 counting only the distinct ones).

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

The square root of 288950220 is about 16998.5358192993. The cubic root of 288950220 is about 661.1109388905.

The spelling of 288950220 in words is "two hundred eighty-eight million, nine hundred fifty thousand, two hundred twenty".