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6428928 = 28311761
BaseRepresentation
bin11000100001100100000000
3110002121211110
4120201210000
53121211203
6345443320
7105434142
oct30414400
913077743
106428928
1136a1170
1221a0540
1314412cc
14bd4c92
1586ed03
hex621900

6428928 has 72 divisors (see below), whose sum is σ = 18690336. Its totient is φ = 1945600.

The previous prime is 6428921. The next prime is 6428957. The reversal of 6428928 is 8298246.

It is a super-2 number, since 2×64289282 = 82662230458368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6428921) 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, 8068 + ... + 8828.

It is an arithmetic number, because the mean of its divisors is an integer number (259588).

Almost surely, 26428928 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 6428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9345168).

6428928 is an abundant number, since it is smaller than the sum of its proper divisors (12261408).

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

6428928 is a wasteful number, since it uses less digits than its factorization.

6428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 777 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 6428928 is about 2535.5330800445. The cubic root of 6428928 is about 185.9428660222.

The spelling of 6428928 in words is "six million, four hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 761 768 1056 1408 1522 2112 2283 2816 3044 4224 4566 6088 8371 8448 9132 12176 16742 18264 24352 25113 33484 36528 48704 50226 66968 73056 97408 100452 133936 146112 194816 200904 267872 292224 401808 535744 584448 803616 1071488 1607232 2142976 3214464 6428928