10385752 has 32 divisors (see below), whose sum is σ = 21546000. Its totient is φ = 4662144.

The previous prime is 10385743. The next prime is 10385773. The reversal of 10385752 is 25758301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2499 + ... + 5197.

Almost surely, 2^10385752 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 10385752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773000).

10385752 is an abundant number, since it is smaller than the sum of its proper divisors (11160248).

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

10385752 is a wasteful number, since it uses less digits than its factorization.

10385752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 10385752 is about 3222.6932835751. The cubic root of 10385752 is about 218.1788505068.

The spelling of 10385752 in words is "ten million, three hundred eighty-five thousand, seven hundred fifty-two".