215628 has 48 divisors (see below), whose sum is σ = 612864. Its totient is φ = 57600.

The previous prime is 215617. The next prime is 215653. The reversal of 215628 is 826512.

215628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 215598 and 215607.

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, 1353 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2²¹⁵⁶²⁸ is an apocalyptic number.

215628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306432).

215628 is an abundant number, since it is smaller than the sum of its proper divisors (397236).

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

215628 is a wasteful number, since it uses less digits than its factorization.

215628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 215628 is about 464.3576208053. The cubic root of 215628 is about 59.9655357630.

The spelling of 215628 in words is "two hundred fifteen thousand, six hundred twenty-eight".