10828090 has 64 divisors (see below), whose sum is σ = 24466176. Its totient is φ = 3359232.

The previous prime is 10828073. The next prime is 10828117. The reversal of 10828090 is 9082801.

10828090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66349 + ... + 66511.

It is an arithmetic number, because the mean of its divisors is an integer number (382284).

Almost surely, 2^10828090 is an apocalyptic number.

10828090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10828090 is an abundant number, since it is smaller than the sum of its proper divisors (13638086).

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

10828090 is a wasteful number, since it uses less digits than its factorization.

10828090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 10828090 is about 3290.6063271075. The cubic root of 10828090 is about 221.2333618735.

It can be divided in two parts, 10 and 828090, that added together give a square (828100 = 910²).

The spelling of 10828090 in words is "ten million, eight hundred twenty-eight thousand, ninety".