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28734912 = 263423241
BaseRepresentation
bin110110110011…
…1010111000000
32000001212220000
41231213113000
524324004122
62503520000
7466146153
oct155472700
960055800
1028734912
1115246a68
129759000
135c5120b
143b5dc9a
1527c90ac
hex1b675c0

28734912 has 140 divisors (see below), whose sum is σ = 89251536. Its totient is φ = 9123840.

The previous prime is 28734887. The next prime is 28734919. The reversal of 28734912 is 21943782.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (24192) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28734919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119112 + ... + 119352.

Almost surely, 228734912 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 28734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44625768).

28734912 is an abundant number, since it is smaller than the sum of its proper divisors (60516624).

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

28734912 is a wasteful number, since it uses less digits than its factorization.

28734912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 28734912 is about 5360.4954994851. The cubic root of 28734912 is about 306.2926842074.

It can be divided in two parts, 28734 and 912, that added together give a triangular number (29646 = T243).

The spelling of 28734912 in words is "twenty-eight million, seven hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 241 276 288 324 368 414 432 482 552 576 621 648 723 736 828 864 964 1104 1242 1296 1446 1472 1656 1728 1863 1928 2169 2208 2484 2592 2892 3312 3726 3856 4338 4416 4968 5184 5543 5784 6507 6624 7452 7712 8676 9936 11086 11568 13014 13248 14904 15424 16629 17352 19521 19872 22172 23136 26028 29808 33258 34704 39042 39744 44344 46272 49887 52056 59616 66516 69408 78084 88688 99774 104112 119232 133032 138816 149661 156168 177376 199548 208224 266064 299322 312336 354752 399096 416448 448983 532128 598644 624672 798192 897966 1064256 1197288 1249344 1596384 1795932 2394576 3192768 3591864 4789152 7183728 9578304 14367456 28734912