288190152 has 24 divisors (see below), whose sum is σ = 780515190. Its totient is φ = 96063360.

The previous prime is 288190127. The next prime is 288190153. The reversal of 288190152 is 251091882.

It can be written as a sum of positive squares in only one way, i.e., 256448196 + 31741956 = 16014^2 + 5634^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (288190153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2001249 + ... + 2001392.

Almost surely, 2^288190152 is an apocalyptic number.

It is an amenable number.

288190152 is an abundant number, since it is smaller than the sum of its proper divisors (492325038).

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

288190152 is a wasteful number, since it uses less digits than its factorization.

288190152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002653 (or 4002646 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 288190152 is about 16976.1642310623. The cubic root of 288190152 is about 660.5307576349.

The spelling of 288190152 in words is "two hundred eighty-eight million, one hundred ninety thousand, one hundred fifty-two".