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6428000 = 25531607
BaseRepresentation
bin11000100001010101100000
3110002120120002
4120201111200
53121144000
6345435132
7105431345
oct30412540
913076502
106428000
1136a04a7
12219baa8
131440a67
14bd47cc
1586e8d5
hex621560

6428000 has 48 divisors (see below), whose sum is σ = 15803424. Its totient is φ = 2569600.

The previous prime is 6427987. The next prime is 6428011. The reversal of 6428000 is 8246.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3197 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (329238).

Almost surely, 26428000 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 6428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901712).

6428000 is an abundant number, since it is smaller than the sum of its proper divisors (9375424).

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

6428000 is a wasteful number, since it uses less digits than its factorization.

6428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6428000 is about 2535.3500744473. The cubic root of 6428000 is about 185.9339187927.

The spelling of 6428000 in words is "six million, four hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1607 2000 3214 4000 6428 8035 12856 16070 25712 32140 40175 51424 64280 80350 128560 160700 200875 257120 321400 401750 642800 803500 1285600 1607000 3214000 6428000