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28492704 = 25321941127
BaseRepresentation
bin110110010110…
…0001110100000
31222121120122100
41230230032200
524243231304
62454410400
7464120052
oct154541640
958546570
1028492704
11150a0a99
129660a00
135b97bb6
143ad98d2
15277c439
hex1b2c3a0

28492704 has 144 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 8709120.

The previous prime is 28492687. The next prime is 28492721. The reversal of 28492704 is 40729482.

It is an interprime number because it is at equal distance from previous prime (28492687) and next prime (28492721).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224289 + ... + 224415.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 228492704 is an apocalyptic number.

28492704 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 28492704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

28492704 is an abundant number, since it is smaller than the sum of its proper divisors (59566176).

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

28492704 is a wasteful number, since it uses less digits than its factorization.

28492704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

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

The square root of 28492704 is about 5337.8557492686. The cubic root of 28492704 is about 305.4296694337.

The spelling of 28492704 in words is "twenty-eight million, four hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 127 144 152 164 171 228 246 254 288 304 328 342 369 381 456 492 508 608 656 684 738 762 779 912 984 1016 1143 1312 1368 1476 1524 1558 1824 1968 2032 2286 2337 2413 2736 2952 3048 3116 3936 4064 4572 4674 4826 5207 5472 5904 6096 6232 7011 7239 9144 9348 9652 10414 11808 12192 12464 14022 14478 15621 18288 18696 19304 20828 21717 24928 28044 28956 31242 36576 37392 38608 41656 43434 46863 56088 57912 62484 74784 77216 83312 86868 93726 98933 112176 115824 124968 166624 173736 187452 197866 224352 231648 249936 296799 347472 374904 395732 499872 593598 694944 749808 791464 890397 1187196 1499616 1582928 1780794 2374392 3165856 3561588 4748784 7123176 9497568 14246352 28492704