10028928 has 192 divisors, whose sum is σ = 34186320. Its totient is φ = 2580480.

The previous prime is 10028917. The next prime is 10028947. The reversal of 10028928 is 82982001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10028895 and 10028904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244588 + ... + 244628.

Almost surely, 2^10028928 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 10028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

10028928 is an abundant number, since it is smaller than the sum of its proper divisors (24157392).

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

10028928 is a wasteful number, since it uses less digits than its factorization.

10028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10028928 is about 3166.8482754941. The cubic root of 10028928 is about 215.6510139587.

The spelling of 10028928 in words is "ten million, twenty-eight thousand, nine hundred twenty-eight".