Search a number
-
+
28532736 = 2133443
BaseRepresentation
bin110110011011…
…0000000000000
31222200121120000
41230312000000
524301021421
62455320000
7464344551
oct154660000
958617500
1028532736
1115119081
129680000
135bb019b
143b0a328
152789226
hex1b36000

28532736 has 140 divisors (see below), whose sum is σ = 87223092. Its totient is φ = 9289728.

The previous prime is 28532731. The next prime is 28532747. The reversal of 28532736 is 63723582.

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28532736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28532731) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663531 + ... + 663573.

Almost surely, 228532736 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 28532736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43611546).

28532736 is an abundant number, since it is smaller than the sum of its proper divisors (58690356).

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

28532736 is an frugal number, since it uses more digits than its factorization.

28532736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 28532736 is about 5341.6042534055. The cubic root of 28532736 is about 305.5726445000.

The spelling of 28532736 in words is "twenty-eight million, five hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 256 258 288 324 344 384 387 432 512 516 576 648 688 768 774 864 1024 1032 1152 1161 1296 1376 1536 1548 1728 2048 2064 2304 2322 2592 2752 3072 3096 3456 3483 4096 4128 4608 4644 5184 5504 6144 6192 6912 6966 8192 8256 9216 9288 10368 11008 12288 12384 13824 13932 16512 18432 18576 20736 22016 24576 24768 27648 27864 33024 36864 37152 41472 44032 49536 55296 55728 66048 73728 74304 82944 88064 99072 110592 111456 132096 148608 165888 176128 198144 221184 222912 264192 297216 331776 352256 396288 445824 528384 594432 663552 792576 891648 1056768 1188864 1585152 1783296 2377728 3170304 3566592 4755456 7133184 9510912 14266368 28532736