10438368 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3456896.

The previous prime is 10438367. The next prime is 10438387. The reversal of 10438368 is 86383401.

10438368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21553 + ... + 22031.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^10438368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10438368 is an abundant number, since it is smaller than the sum of its proper divisors (17140512).

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

10438368 is a wasteful number, since it uses less digits than its factorization.

10438368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 10438368 is about 3230.8463287504. The cubic root of 10438368 is about 218.5466738715.

The spelling of 10438368 in words is "ten million, four hundred thirty-eight thousand, three hundred sixty-eight".