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428000 = 2553107
BaseRepresentation
bin1101000011111100000
3210202002212
41220133200
5102144000
613101252
73431546
oct1503740
9722085
10428000
11272621
12187828
1311ca71
14b1d96
1586c35
hex687e0

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.

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

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.

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

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 200 214 250 400 428 500 535 800 856 1000 1070 1712 2000 2140 2675 3424 4000 4280 5350 8560 10700 13375 17120 21400 26750 42800 53500 85600 107000 214000 428000