10126728 has 64 divisors (see below), whose sum is σ = 28396800. Its totient is φ = 3343680.

The previous prime is 10126723. The next prime is 10126729. The reversal of 10126728 is 82762101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37233 + ... + 37503.

It is an arithmetic number, because the mean of its divisors is an integer number (443700).

Almost surely, 2^10126728 is an apocalyptic number.

10126728 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 10126728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198400).

10126728 is an abundant number, since it is smaller than the sum of its proper divisors (18270072).

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

10126728 is a wasteful number, since it uses less digits than its factorization.

10126728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10126728 is about 3182.2520327592. The cubic root of 10126728 is about 216.3497420424.

Adding to 10126728 its reverse (82762101), we get a palindrome (92888829).

The spelling of 10126728 in words is "ten million, one hundred twenty-six thousand, seven hundred twenty-eight".