18828810 has 288 divisors, whose sum is σ = 69713280. Its totient is φ = 3421440.

The previous prime is 18828787. The next prime is 18828827. The reversal of 18828810 is 1882881.

18828810 = 456² + 457² + ... + 532².

It is a happy number.

It is a super-2 number, since 2×18828810² = 709048172032200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 990981 + ... + 990999.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 2^18828810 is an apocalyptic number.

18828810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18828810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

18828810 is an abundant number, since it is smaller than the sum of its proper divisors (50884470).

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

18828810 is a wasteful number, since it uses less digits than its factorization.

18828810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 18828810 is about 4339.2176714242. The cubic root of 18828810 is about 266.0363358884.

It can be divided in two parts, 18 and 828810, that added together give a palindrome (828828).

The spelling of 18828810 in words is "eighteen million, eight hundred twenty-eight thousand, eight hundred ten".