10152288 has 36 divisors (see below), whose sum is σ = 28871388. Its totient is φ = 3384000.

The previous prime is 10152277. The next prime is 10152301. The reversal of 10152288 is 88225101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17338 + ... + 17913.

It is an arithmetic number, because the mean of its divisors is an integer number (801983).

Almost surely, 2^10152288 is an apocalyptic number.

10152288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10152288 is an abundant number, since it is smaller than the sum of its proper divisors (18719100).

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

10152288 is a wasteful number, since it uses less digits than its factorization.

10152288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35267 (or 35256 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10152288 is about 3186.2655256585. The cubic root of 10152288 is about 216.5316123499.

Adding to 10152288 its reverse (88225101), we get a palindrome (98377389).

It can be divided in two parts, 10152 and 288, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10152288 in words is "ten million, one hundred fifty-two thousand, two hundred eighty-eight".