838728 has 64 divisors (see below), whose sum is σ = 2548800. Its totient is φ = 253440.

The previous prime is 838711. The next prime is 838751. The reversal of 838728 is 827838.

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 = 838692 and 838701.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200 + ... + 2552.

It is an arithmetic number, because the mean of its divisors is an integer number (39825).

2⁸³⁸⁷²⁸ is an apocalyptic number.

838728 is a gapful number since it is divisible by the number (88) 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 838728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274400).

838728 is an abundant number, since it is smaller than the sum of its proper divisors (1710072).

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

838728 is a wasteful number, since it uses less digits than its factorization.

838728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 838728 is about 915.8209431980. The cubic root of 838728 is about 94.3062293022.

The spelling of 838728 in words is "eight hundred thirty-eight thousand, seven hundred twenty-eight".