628836 has 48 divisors (see below), whose sum is σ = 1646400. Its totient is φ = 185472.

The previous prime is 628819. The next prime is 628841. The reversal of 628836 is 638826.

628836 is nontrivially palindromic in base 7.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 628797 and 628806.

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, 4455 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (34300).

628836 is a Friedman number, since it can be written as (68^3-8-6)*2, using all its digits and the basic arithmetic operations.

2⁶²⁸⁸³⁶ 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 628836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823200).

628836 is an abundant number, since it is smaller than the sum of its proper divisors (1017564).

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

628836 is a wasteful number, since it uses less digits than its factorization.

628836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 628836 is about 792.9918032363. The cubic root of 628836 is about 85.6733598274.

The spelling of 628836 in words is "six hundred twenty-eight thousand, eight hundred thirty-six".