428952 has 32 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 140160.

The previous prime is 428951. The next prime is 428957. The reversal of 428952 is 259824.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428951) 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, 1318 + ... + 1610.

2⁴²⁸⁹⁵² 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 428952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

428952 is an abundant number, since it is smaller than the sum of its proper divisors (664728).

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

428952 is a wasteful number, since it uses less digits than its factorization.

428952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 428952 is about 654.9442724385. The cubic root of 428952 is about 75.4170543546.

The spelling of 428952 in words is "four hundred twenty-eight thousand, nine hundred fifty-two".