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28114944 = 21631113
BaseRepresentation
bin110101101000…
…0000000000000
31221220101110020
41223100000000
524144134234
62442333440
7460654524
oct153200000
957811406
1028114944
11149631a0
1294ba280
135a94c80
143a3bd84
152705549
hex1ad0000

28114944 has 136 divisors (see below), whose sum is σ = 88079712. Its totient is φ = 7864320.

The previous prime is 28114943. The next prime is 28114969. The reversal of 28114944 is 44941182.

It is a super-2 number, since 2×281149442 = 1580900152246272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28114943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162682 + ... + 2162694.

Almost surely, 228114944 is an apocalyptic number.

28114944 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 28114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44039856).

28114944 is an abundant number, since it is smaller than the sum of its proper divisors (59964768).

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

28114944 is an equidigital number, since it uses as much as digits as its factorization.

28114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 29 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 28114944 is about 5302.3526853652. The cubic root of 28114944 is about 304.0738509406.

It can be divided in two parts, 281 and 14944, that added together give a triangular number (15225 = T174).

The spelling of 28114944 in words is "twenty-eight million, one hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 512 528 572 624 704 768 832 858 1024 1056 1144 1248 1408 1536 1664 1716 2048 2112 2288 2496 2816 3072 3328 3432 4096 4224 4576 4992 5632 6144 6656 6864 8192 8448 9152 9984 11264 12288 13312 13728 16384 16896 18304 19968 22528 24576 26624 27456 32768 33792 36608 39936 45056 49152 53248 54912 65536 67584 73216 79872 90112 98304 106496 109824 135168 146432 159744 180224 196608 212992 219648 270336 292864 319488 360448 425984 439296 540672 585728 638976 720896 851968 878592 1081344 1171456 1277952 1757184 2162688 2342912 2555904 3514368 4685824 7028736 9371648 14057472 28114944