10423728 has 120 divisors (see below), whose sum is σ = 34664448. Its totient is φ = 2970432.

The previous prime is 10423727. The next prime is 10423733. The reversal of 10423728 is 82732401.

10423728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10423727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27025 + ... + 27407.

Almost surely, 2^10423728 is an apocalyptic number.

10423728 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 10423728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332224).

10423728 is an abundant number, since it is smaller than the sum of its proper divisors (24240720).

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

10423728 is an equidigital number, since it uses as much as digits as its factorization.

10423728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10423728 is about 3228.5798735667. The cubic root of 10423728 is about 218.4444541800. Note that the first 4 decimals are identical.

It can be divided in two parts, 104 and 23728, that added together give a palindrome (23832).

The spelling of 10423728 in words is "ten million, four hundred twenty-three thousand, seven hundred twenty-eight".