10438032 has 80 divisors (see below), whose sum is σ = 30051648. Its totient is φ = 3095040.

The previous prime is 10438013. The next prime is 10438061. The reversal of 10438032 is 23083401.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 27798 + ... + 28170.

Almost surely, 2^10438032 is an apocalyptic number.

10438032 is a gapful number since it is divisible by the number (12) 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 10438032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025824).

10438032 is an abundant number, since it is smaller than the sum of its proper divisors (19613616).

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

10438032 is a wasteful number, since it uses less digits than its factorization.

10438032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10438032 is about 3230.7943295728. The cubic root of 10438032 is about 218.5443289178.

The spelling of 10438032 in words is "ten million, four hundred thirty-eight thousand, thirty-two".