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428544 = 293331
BaseRepresentation
bin1101000101000000000
3210202212000
41220220000
5102203134
613104000
73433254
oct1505000
9722760
10428544
11272a76
12188000
1312009c
14b2264
1586e99
hex68a00

428544 has 80 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 138240.

The previous prime is 428539. The next prime is 428551. The reversal of 428544 is 445824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

428544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13809 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2428544 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 428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

428544 is an abundant number, since it is smaller than the sum of its proper divisors (880896).

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

428544 is an equidigital number, since it uses as much as digits as its factorization.

428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 428544 is about 654.6327214553. The cubic root of 428544 is about 75.3931356574.

The spelling of 428544 in words is "four hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 7936 8928 11904 13392 13824 15872 17856 23808 26784 35712 47616 53568 71424 107136 142848 214272 428544