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28673856 = 263267743
BaseRepresentation
bin110110101100…
…0011101000000
31222221210010200
41231120131000
524320030411
62502325200
7465503151
oct155303500
958853120
1028673856
1115205102
129729800
135c2c4a3
143b45928
1527b5e56
hex1b58740

28673856 has 84 divisors (see below), whose sum is σ = 83527392. Its totient is φ = 9402624.

The previous prime is 28673851. The next prime is 28673857. The reversal of 28673856 is 65837682.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28673851) 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, 38221 + ... + 38963.

Almost surely, 228673856 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 28673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41763696).

28673856 is an abundant number, since it is smaller than the sum of its proper divisors (54853536).

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

28673856 is a wasteful number, since it uses less digits than its factorization.

28673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 28673856 is about 5354.7974751619. The cubic root of 28673856 is about 306.0755932683.

The spelling of 28673856 in words is "twenty-eight million, six hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 743 804 1072 1206 1486 1608 2144 2229 2412 2972 3216 4288 4458 4824 5944 6432 6687 8916 9648 11888 12864 13374 17832 19296 23776 26748 35664 38592 47552 49781 53496 71328 99562 106992 142656 149343 199124 213984 298686 398248 427968 448029 597372 796496 896058 1194744 1592992 1792116 2389488 3185984 3584232 4778976 7168464 9557952 14336928 28673856