10029728 has 48 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 4647936.

The previous prime is 10029671. The next prime is 10029751. The reversal of 10029728 is 82792001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10029728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55943 + ... + 56121.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^10029728 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 10029728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

10029728 is an abundant number, since it is smaller than the sum of its proper divisors (11198752).

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

10029728 is a wasteful number, since it uses less digits than its factorization.

10029728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10029728 is about 3166.9745815210. The cubic root of 10029728 is about 215.6567479123.

The spelling of 10029728 in words is "ten million, twenty-nine thousand, seven hundred twenty-eight".