10421728 has 48 divisors (see below), whose sum is σ = 22029840. Its totient is φ = 4838400.

The previous prime is 10421713. The next prime is 10421779. The reversal of 10421728 is 82712401.

It is a happy number.

It is a super-2 number, since 2×10421728² = 217224829011968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36948 + ... + 37228.

It is an arithmetic number, because the mean of its divisors is an integer number (458955).

Almost surely, 2^10421728 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 10421728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014920).

10421728 is an abundant number, since it is smaller than the sum of its proper divisors (11608112).

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

10421728 is a wasteful number, since it uses less digits than its factorization.

10421728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 10421728 is about 3228.2701250050. The cubic root of 10421728 is about 218.4304823121.

The spelling of 10421728 in words is "ten million, four hundred twenty-one thousand, seven hundred twenty-eight".