10027952 has 40 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 4520000.

The previous prime is 10027949. The next prime is 10027993. The reversal of 10027952 is 25972001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39827 + ... + 40077.

Almost surely, 2^10027952 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 10027952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

10027952 is an abundant number, since it is smaller than the sum of its proper divisors (11345680).

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

10027952 is a wasteful number, since it uses less digits than its factorization.

10027952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 10027952 is about 3166.6941753191. The cubic root of 10027952 is about 215.6440181223.

Adding to 10027952 its reverse (25972001), we get a palindrome (35999953).

Subtracting 10027952 from its reverse (25972001), we obtain a square (15944049 = 3993²).

The spelling of 10027952 in words is "ten million, twenty-seven thousand, nine hundred fifty-two".