428000 has 48 divisors (see below), whose sum is σ = 1061424. Its totient is φ = 169600.

The previous prime is 427997. The next prime is 428003. The reversal of 428000 is 824.

It is an interprime number because it is at equal distance from previous prime (427997) and next prime (428003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428003) 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, 3947 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2⁴²⁸⁰⁰⁰ is an apocalyptic number.

428000 is a gapful number since it is divisible by the number (40) 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 428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712).

428000 is an abundant number, since it is smaller than the sum of its proper divisors (633424).

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

428000 is a wasteful number, since it uses less digits than its factorization.

428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 428000 is about 654.2170893518. The cubic root of 428000 is about 75.3612204339.

Adding to 428000 its reverse (824), we get a palindrome (428824).

The spelling of 428000 in words is "four hundred twenty-eight thousand".