428532 has 48 divisors (see below), whose sum is σ = 1119552. Its totient is φ = 126720.

The previous prime is 428531. The next prime is 428539. The reversal of 428532 is 235824.

428532 = T₃ + T₄ + ... + T₁₃₆.

It is a d-powerful number, because it can be written as 4⁸ + 2¹⁶ + 5⁶ + 8 + 3⁹ + 2¹⁸ .

Its product of digits (1920) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428531) 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, 6363 + ... + 6429.

It is an arithmetic number, because the mean of its divisors is an integer number (23324).

2⁴²⁸⁵³² 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 428532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559776).

428532 is an abundant number, since it is smaller than the sum of its proper divisors (691020).

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

428532 is a wasteful number, since it uses less digits than its factorization.

428532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 428532 is about 654.6235559465. The cubic root of 428532 is about 75.3924319365.

The spelling of 428532 in words is "four hundred twenty-eight thousand, five hundred thirty-two".