428352 has 56 divisors (see below), whose sum is σ = 1194816. Its totient is φ = 135168.

The previous prime is 428339. The next prime is 428353. The reversal of 428352 is 253824.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4368 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (21336).

2⁴²⁸³⁵² 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 428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597408).

428352 is an abundant number, since it is smaller than the sum of its proper divisors (766464).

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

428352 is a wasteful number, since it uses less digits than its factorization.

428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

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

The square root of 428352 is about 654.4860579111. The cubic root of 428352 is about 75.3818745466.

It can be divided in two parts, 428 and 352, that added together give a triangular number (780 = T₃₉).

The spelling of 428352 in words is "four hundred twenty-eight thousand, three hundred fifty-two".