828738 has 32 divisors (see below), whose sum is σ = 1872000. Its totient is φ = 271728.

The previous prime is 828731. The next prime is 828743. The reversal of 828738 is 837828.

It is a d-powerful number, because it can be written as 8 + 2¹⁰ + 7⁷ + 8² + 3 + 8⁴ .

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828738.

It is not an unprimeable number, because it can be changed into a prime (828731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5488 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2⁸²⁸⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936000).

828738 is an abundant number, since it is smaller than the sum of its proper divisors (1043262).

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

828738 is a wasteful number, since it uses less digits than its factorization.

828738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

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

The square root of 828738 is about 910.3504819574. The cubic root of 828738 is about 93.9303089901.

The spelling of 828738 in words is "eight hundred twenty-eight thousand, seven hundred thirty-eight".