838628 has 24 divisors (see below), whose sum is σ = 1708224. Its totient is φ = 352800.

The previous prime is 838613. The next prime is 838631. The reversal of 838628 is 826838.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838628.

It is an unprimeable number.

838628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1463 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (71176).

2⁸³⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

838628 is an abundant number, since it is smaller than the sum of its proper divisors (869596).

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

838628 is a wasteful number, since it uses less digits than its factorization.

838628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 838628 is about 915.7663457455. The cubic root of 838628 is about 94.3024811670.

The spelling of 838628 in words is "eight hundred thirty-eight thousand, six hundred twenty-eight".