212628 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 61824.

The previous prime is 212627. The next prime is 212633. The reversal of 212628 is 826212.

Its product of digits (384) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212627) 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, 4501 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2²¹²⁶²⁸ 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 212628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

212628 is an abundant number, since it is smaller than the sum of its proper divisors (351852).

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

212628 is a wasteful number, since it uses less digits than its factorization.

212628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 212628 is about 461.1160374570. The cubic root of 212628 is about 59.6861388266.

The spelling of 212628 in words is "two hundred twelve thousand, six hundred twenty-eight".