338828820 has 96 divisors (see below), whose sum is σ = 1059125760. Its totient is φ = 80223360.

The previous prime is 338828807. The next prime is 338828821. The reversal of 338828820 is 28828833.

It is a super-2 number, since 2×338828820² = 229609938525184800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338828821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22411 + ... + 34349.

It is an arithmetic number, because the mean of its divisors is an integer number (11032560).

Almost surely, 2^338828820 is an apocalyptic number.

338828820 is a gapful number since it is divisible by the number (30) 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 338828820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529562880).

338828820 is an abundant number, since it is smaller than the sum of its proper divisors (720296940).

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

338828820 is a wasteful number, since it uses less digits than its factorization.

338828820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 12003 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 338828820 is about 18407.3034418407. The cubic root of 338828820 is about 697.1508819270.

The spelling of 338828820 in words is "three hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred twenty".