10252728 has 48 divisors (see below), whose sum is σ = 27975480. Its totient is φ = 3392064.

The previous prime is 10252727. The next prime is 10252729. The reversal of 10252728 is 82725201.

10252728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10252727) and next prime (10252729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252727) 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, 10851 + ... + 11757.

Almost surely, 2^10252728 is an apocalyptic number.

10252728 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 10252728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987740).

10252728 is an abundant number, since it is smaller than the sum of its proper divisors (17722752).

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

10252728 is a wasteful number, since it uses less digits than its factorization.

10252728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10252728 is about 3201.9881323952. The cubic root of 10252728 is about 217.2433437099.

Adding to 10252728 its reverse (82725201), we get a palindrome (92977929).

The spelling of 10252728 in words is "ten million, two hundred fifty-two thousand, seven hundred twenty-eight".