288990152 has 64 divisors (see below), whose sum is σ = 625363200. Its totient is φ = 123819840.

The previous prime is 288990139. The next prime is 288990161. The reversal of 288990152 is 251099882.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 513023 + ... + 513585.

It is an arithmetic number, because the mean of its divisors is an integer number (9771300).

Almost surely, 2^288990152 is an apocalyptic number.

288990152 is a gapful number since it is divisible by the number (22) 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 288990152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312681600).

288990152 is an abundant number, since it is smaller than the sum of its proper divisors (336373048).

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

288990152 is a wasteful number, since it uses less digits than its factorization.

288990152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 288990152 is about 16999.7103504736. The cubic root of 288990152 is about 661.1413919630.

The spelling of 288990152 in words is "two hundred eighty-eight million, nine hundred ninety thousand, one hundred fifty-two".