338928100 has 81 divisors (see below), whose sum is σ = 858816777. Its totient is φ = 115762080.

The previous prime is 338928089. The next prime is 338928101. The reversal of 338928100 is 1829833.

The square root of 338928100 is 18410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 216913984 = 11046^2 + 14728^2 .

It is a super-2 number, since 2×338928100² = 229744513939220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338928101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1288569 + ... + 1288831.

Almost surely, 2^338928100 is an apocalyptic number.

338928100 is the 18410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338928100

338928100 is an abundant number, since it is smaller than the sum of its proper divisors (519888677).

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

338928100 is a wasteful number, since it uses less digits than its factorization.

338928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 338928100 is about 697.2189658448.

The spelling of 338928100 in words is "three hundred thirty-eight million, nine hundred twenty-eight thousand, one hundred".