428652 has 72 divisors (see below), whose sum is σ = 1308720. Its totient is φ = 122472.

The previous prime is 428639. The next prime is 428657. The reversal of 428652 is 256824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

428652 is a `hidden beast` number, since 4 + 2 + 8 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3840) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (428657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61233 + ... + 61239.

2⁴²⁸⁶⁵² is an apocalyptic number.

428652 is a gapful number since it is divisible by the number (42) 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 428652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654360).

428652 is an abundant number, since it is smaller than the sum of its proper divisors (880068).

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

428652 is an equidigital number, since it uses as much as digits as its factorization.

428652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 428652 is about 654.7152052610. The cubic root of 428652 is about 75.3994685542.

Multiplying 428652 by its sum of digits (27), we get a square (11573604 = 3402²).

428652 divided by its sum of digits (27) gives a square (15876 = 126²).

The spelling of 428652 in words is "four hundred twenty-eight thousand, six hundred fifty-two".