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28178064 = 2433193433
BaseRepresentation
bin110101101111…
…1011010010000
31222000121001000
41223133122100
524203144224
62443542000
7461336535
oct153373220
958017030
1028178064
11149a6662
12952a900
135ab7915
143a56d8c
1527190c9
hex1adf690

28178064 has 80 divisors (see below), whose sum is σ = 85163200. Its totient is φ = 8895744.

The previous prime is 28178063. The next prime is 28178069. The reversal of 28178064 is 46087182.

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

It is not an unprimeable number, because it can be changed into a prime (28178063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6492 + ... + 9924.

It is an arithmetic number, because the mean of its divisors is an integer number (1064540).

Almost surely, 228178064 is an apocalyptic number.

28178064 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 28178064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42581600).

28178064 is an abundant number, since it is smaller than the sum of its proper divisors (56985136).

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

28178064 is a wasteful number, since it uses less digits than its factorization.

28178064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28178064 is about 5308.3014232427. The cubic root of 28178064 is about 304.3012364910.

The spelling of 28178064 in words is "twenty-eight million, one hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 3433 4104 6866 8208 10299 13732 20598 27464 30897 41196 54928 61794 65227 82392 92691 123588 130454 164784 185382 195681 247176 260908 370764 391362 494352 521816 587043 741528 782724 1043632 1174086 1483056 1565448 1761129 2348172 3130896 3522258 4696344 7044516 9392688 14089032 28178064