10007288 has 16 divisors (see below), whose sum is σ = 19867680. Its totient is φ = 4709248.

The previous prime is 10007273. The next prime is 10007293. The reversal of 10007288 is 88270001.

10007288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10007288² = 200291626229888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36656 + ... + 36927.

It is an arithmetic number, because the mean of its divisors is an integer number (1241730).

Almost surely, 2^10007288 is an apocalyptic number.

It is an amenable number.

10007288 is a deficient number, since it is larger than the sum of its proper divisors (9860392).

10007288 is a wasteful number, since it uses less digits than its factorization.

10007288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73606 (or 73602 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 10007288 is about 3163.4297842690. The cubic root of 10007288 is about 215.4957946937.

Adding to 10007288 its reverse (88270001), we get a palindrome (98277289).

The spelling of 10007288 in words is "ten million, seven thousand, two hundred eighty-eight".