428868 has 72 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 123120.

The previous prime is 428863. The next prime is 428873. The reversal of 428868 is 868824.

It is an interprime number because it is at equal distance from previous prime (428863) and next prime (428873).

It is a super-2 number, since 2×428868² = 367855522848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428863) by changing a digit.

428868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22563 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (17780).

2⁴²⁸⁸⁶⁸ 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 428868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

428868 is an abundant number, since it is smaller than the sum of its proper divisors (851292).

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

428868 is a wasteful number, since it uses less digits than its factorization.

428868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 428868 is about 654.8801417053. The cubic root of 428868 is about 75.4121311572.

It can be divided in two parts, 4288 and 68, that added together give a square (4356 = 66²).

The spelling of 428868 in words is "four hundred twenty-eight thousand, eight hundred sixty-eight".