338321628 has 72 divisors (see below), whose sum is σ = 901275648. Its totient is φ = 106796448.

The previous prime is 338321593. The next prime is 338321681. The reversal of 338321628 is 826123833.

338321628 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 21 + 628 = 666.

338321628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338321628² = 228923047945140768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338321592 and 338321601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83301 + ... + 87267.

Almost surely, 2^338321628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338321628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450637824).

338321628 is an abundant number, since it is smaller than the sum of its proper divisors (562954020).

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

338321628 is a wasteful number, since it uses less digits than its factorization.

338321628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4098 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 338321628 is about 18393.5213594352. The cubic root of 338321628 is about 696.8028537536.

The spelling of 338321628 in words is "three hundred thirty-eight million, three hundred twenty-one thousand, six hundred twenty-eight".