428688 has 60 divisors (see below), whose sum is σ = 1297660. Its totient is φ = 131328.

The previous prime is 428683. The next prime is 428693. The reversal of 428688 is 886824.

It is an interprime number because it is at equal distance from previous prime (428683) and next prime (428693).

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 186624 = 492^2 + 432^2 .

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24576) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (428683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1758 + ... + 1986.

2⁴²⁸⁶⁸⁸ is an apocalyptic number.

428688 is a gapful number since it is divisible by the number (48) 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 428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648830).

428688 is an abundant number, since it is smaller than the sum of its proper divisors (868972).

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

428688 is a wasteful number, since it uses less digits than its factorization.

428688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

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

The square root of 428688 is about 654.7426975538. The cubic root of 428688 is about 75.4015792834.

The spelling of 428688 in words is "four hundred twenty-eight thousand, six hundred eighty-eight".