Search a number
-
+
28733184 = 28334157
BaseRepresentation
bin110110110011…
…0111100000000
32000001210112000
41231212330000
524323430214
62503504000
7466141134
oct155467400
960053460
1028733184
1115245737
129758000
135c504ac
143b5d3c4
1527c8809
hex1b66f00

28733184 has 72 divisors (see below), whose sum is σ = 84989520. Its totient is φ = 9575424.

The previous prime is 28733167. The next prime is 28733191. The reversal of 28733184 is 48133782.

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 4834 + ... + 8990.

It is an arithmetic number, because the mean of its divisors is an integer number (1180410).

Almost surely, 228733184 is an apocalyptic number.

28733184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28733184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42494760).

28733184 is an abundant number, since it is smaller than the sum of its proper divisors (56256336).

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

28733184 is an equidigital number, since it uses as much as digits as its factorization.

28733184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4162 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 28733184 is about 5360.3343179320. The cubic root of 28733184 is about 306.2865443549.

The spelling of 28733184 in words is "twenty-eight million, seven hundred thirty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4157 6912 8314 12471 16628 24942 33256 37413 49884 66512 74826 99768 112239 133024 149652 199536 224478 266048 299304 399072 448956 532096 598608 798144 897912 1064192 1197216 1596288 1795824 2394432 3192576 3591648 4788864 7183296 9577728 14366592 28733184