10485952 has 28 divisors (see below), whose sum is σ = 21168360. Its totient is φ = 5152256.

The previous prime is 10485949. The next prime is 10485973. The reversal of 10485952 is 25958401.

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, 2388 + ... + 5164.

Almost surely, 2^10485952 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 10485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584180).

10485952 is an abundant number, since it is smaller than the sum of its proper divisors (10682408).

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

10485952 is an equidigital number, since it uses as much as digits as its factorization.

10485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 10485952 is about 3238.2019702298. The cubic root of 10485952 is about 218.8782570852.

The spelling of 10485952 in words is "ten million, four hundred eighty-five thousand, nine hundred fifty-two".