826628 has 12 divisors (see below), whose sum is σ = 1578192. Its totient is φ = 375720.

The previous prime is 826621. The next prime is 826663.

It is a happy number.

826628 is nontrivially palindromic in base 10.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8³ + 2² + 6⁷ + 6⁷ + 2¹⁸ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 826594 and 826603.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 826628.

It is not an unprimeable number, because it can be changed into a prime (826621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9350 + ... + 9437.

It is an arithmetic number, because the mean of its divisors is an integer number (131516).

2⁸²⁶⁶²⁸ is an apocalyptic number.

It is an amenable number.

826628 is a deficient number, since it is larger than the sum of its proper divisors (751564).

826628 is a wasteful number, since it uses less digits than its factorization.

826628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18802 (or 18800 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 826628 is about 909.1908490521. The cubic root of 826628 is about 93.8505244693.

The spelling of 826628 in words is "eight hundred twenty-six thousand, six hundred twenty-eight".