288008952 has 64 divisors (see below), whose sum is σ = 897696000. Its totient is φ = 74807040.

The previous prime is 288008899. The next prime is 288008953. The reversal of 288008952 is 259800882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288008953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76077 + ... + 79772.

It is an arithmetic number, because the mean of its divisors is an integer number (14026500).

Almost surely, 2^288008952 is an apocalyptic number.

288008952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

288008952 is an abundant number, since it is smaller than the sum of its proper divisors (609687048).

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

288008952 is a wasteful number, since it uses less digits than its factorization.

288008952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155876 (or 155872 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 288008952 is about 16970.8264972570. The cubic root of 288008952 is about 660.3922920351.

The spelling of 288008952 in words is "two hundred eighty-eight million, eight thousand, nine hundred fifty-two".