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28122336 = 2533112269
BaseRepresentation
bin110101101000…
…1110011100000
31221220202121000
41223101303200
524144403321
62442432000
7461015214
oct153216340
957822530
1028122336
1114968800
129502600
135a98448
143a40944
152707826
hex1ad1ce0

28122336 has 144 divisors (see below), whose sum is σ = 90493200. Its totient is φ = 8490240.

The previous prime is 28122323. The next prime is 28122389. The reversal of 28122336 is 63322182.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104410 + ... + 104678.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 228122336 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 28122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45246600).

28122336 is an abundant number, since it is smaller than the sum of its proper divisors (62370864).

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

28122336 is a wasteful number, since it uses less digits than its factorization.

28122336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 28122336 is about 5303.0496886226. The cubic root of 28122336 is about 304.1004977059.

The spelling of 28122336 in words is "twenty-eight million, one hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 269 288 297 352 363 396 432 484 528 538 594 726 792 807 864 968 1056 1076 1089 1188 1452 1584 1614 1936 2152 2178 2376 2421 2904 2959 3168 3228 3267 3872 4304 4356 4752 4842 5808 5918 6456 6534 7263 8608 8712 8877 9504 9684 11616 11836 12912 13068 14526 17424 17754 19368 23672 25824 26136 26631 29052 32549 34848 35508 38736 47344 52272 53262 58104 65098 71016 77472 79893 94688 97647 104544 106524 116208 130196 142032 159786 195294 213048 232416 260392 284064 292941 319572 390588 426096 520784 585882 639144 781176 852192 878823 1041568 1171764 1278288 1562352 1757646 2343528 2556576 3124704 3515292 4687056 7030584 9374112 14061168 28122336