10026828 has 60 divisors (see below), whose sum is σ = 29963472. Its totient is φ = 2864160.

The previous prime is 10026803. The next prime is 10026859. The reversal of 10026828 is 82862001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58 + ... + 4478.

Almost surely, 2^10026828 is an apocalyptic number.

10026828 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 10026828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981736).

10026828 is an abundant number, since it is smaller than the sum of its proper divisors (19936644).

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

10026828 is a wasteful number, since it uses less digits than its factorization.

10026828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10026828 is about 3166.5166982032. The cubic root of 10026828 is about 215.6359608795.

Adding to 10026828 its reverse (82862001), we get a palindrome (92888829).

The spelling of 10026828 in words is "ten million, twenty-six thousand, eight hundred twenty-eight".