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28249344 = 28336167
BaseRepresentation
bin110101111000…
…0110100000000
31222011012211000
41223300310000
524212434334
62445252000
7462054414
oct153606400
958135730
1028249344
1114a45172
129564000
135b111b6
143a74d44
152730299
hex1af0d00

28249344 has 144 divisors (see below), whose sum is σ = 86175040. Its totient is φ = 9123840.

The previous prime is 28249327. The next prime is 28249363. The reversal of 28249344 is 44394282.

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 (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 28249299 and 28249308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421599 + ... + 421665.

Almost surely, 228249344 is an apocalyptic number.

28249344 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 28249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43087520).

28249344 is an abundant number, since it is smaller than the sum of its proper divisors (57925696).

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

28249344 is an equidigital number, since it uses as much as digits as its factorization.

28249344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28249344 is about 5315.0111947201. The cubic root of 28249344 is about 304.5576100078.

The spelling of 28249344 in words is "twenty-eight million, two hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 67 72 96 108 122 128 134 144 183 192 201 216 244 256 268 288 366 384 402 432 488 536 549 576 603 732 768 804 864 976 1072 1098 1152 1206 1464 1608 1647 1728 1809 1952 2144 2196 2304 2412 2928 3216 3294 3456 3618 3904 4087 4288 4392 4824 5856 6432 6588 6912 7236 7808 8174 8576 8784 9648 11712 12261 12864 13176 14472 15616 16348 17152 17568 19296 23424 24522 25728 26352 28944 32696 35136 36783 38592 46848 49044 51456 52704 57888 65392 70272 73566 77184 98088 105408 110349 115776 130784 140544 147132 154368 196176 210816 220698 231552 261568 294264 392352 421632 441396 463104 523136 588528 784704 882792 1046272 1177056 1569408 1765584 2354112 3138816 3531168 4708224 7062336 9416448 14124672 28249344