10027728 has 60 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3298368.

The previous prime is 10027727. The next prime is 10027741. The reversal of 10027728 is 82772001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11533 + ... + 12371.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^10027728 is an apocalyptic number.

10027728 is a gapful number since it is divisible by the number (18) 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 10027728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10027728 is an abundant number, since it is smaller than the sum of its proper divisors (18407952).

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

10027728 is a wasteful number, since it uses less digits than its factorization.

10027728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10027728 is about 3166.6588070078. The cubic root of 10027728 is about 215.6424124565.

Adding to 10027728 its reverse (82772001), we get a palindrome (92799729).

The spelling of 10027728 in words is "ten million, twenty-seven thousand, seven hundred twenty-eight".