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6428628 = 2232283631
BaseRepresentation
bin11000100001011111010100
3110002121102100
4120201133110
53121204003
6345442100
7105433233
oct30413724
913077370
106428628
1136a0a18
1221a0330
13144112b
14bd4b1a
1586eba3
hex6217d4

6428628 has 36 divisors (see below), whose sum is σ = 16333408. Its totient is φ = 2131920.

The previous prime is 6428627. The next prime is 6428647. The reversal of 6428628 is 8268246.

6428628 is a `hidden beast` number, since 6 + 4 + 28 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6428592 and 6428601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9873 + ... + 10503.

Almost surely, 26428628 is an apocalyptic number.

It is an amenable number.

6428628 is an abundant number, since it is smaller than the sum of its proper divisors (9904780).

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

6428628 is a wasteful number, since it uses less digits than its factorization.

6428628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 919 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 6428628 is about 2535.4739201972. The cubic root of 6428628 is about 185.9399736931.

It can be divided in two parts, 6428 and 628, that added together give a square (7056 = 842).

The spelling of 6428628 in words is "six million, four hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 283 566 631 849 1132 1262 1698 1893 2524 2547 3396 3786 5094 5679 7572 10188 11358 22716 178573 357146 535719 714292 1071438 1607157 2142876 3214314 6428628