657228 has 48 divisors (see below), whose sum is σ = 1806336. Its totient is φ = 183360.

The previous prime is 657197. The next prime is 657233. The reversal of 657228 is 822756.

It is a d-powerful number, because it can be written as 6 + 5⁸ + 2² + 7⁴ + 2¹¹ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 657195 and 657204.

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, 1525 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

2⁶⁵⁷²²⁸ 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 657228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168).

657228 is an abundant number, since it is smaller than the sum of its proper divisors (1149108).

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

657228 is a wasteful number, since it uses less digits than its factorization.

657228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 657228 is about 810.6959972764. The cubic root of 657228 is about 86.9438136356.

The spelling of 657228 in words is "six hundred fifty-seven thousand, two hundred twenty-eight".