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28136448 = 210324371
BaseRepresentation
bin110101101010…
…1010000000000
31221221110221200
41223111100000
524200331243
62443021200
7461104314
oct153252000
957843850
1028136448
111497836a
12950a800
135aa19b2
143a45b44
15270bad3
hex1ad5400

28136448 has 132 divisors (see below), whose sum is σ = 84303648. Its totient is φ = 9031680.

The previous prime is 28136447. The next prime is 28136461. The reversal of 28136448 is 84463182.

28136448 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 644 + 8 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (28136443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396253 + ... + 396323.

It is an arithmetic number, because the mean of its divisors is an integer number (638664).

Almost surely, 228136448 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 28136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42151824).

28136448 is an abundant number, since it is smaller than the sum of its proper divisors (56167200).

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

28136448 is a wasteful number, since it uses less digits than its factorization.

28136448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28136448 is about 5304.3800768799. The cubic root of 28136448 is about 304.1513558399.

It can be divided in two parts, 2813 and 6448, that added together give a cube (9261 = 213).

The spelling of 28136448 in words is "twenty-eight million, one hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 71 72 86 96 128 129 142 144 172 192 213 256 258 284 288 344 384 387 426 512 516 568 576 639 688 768 774 852 1024 1032 1136 1152 1278 1376 1536 1548 1704 2064 2272 2304 2556 2752 3053 3072 3096 3408 4128 4544 4608 5112 5504 6106 6192 6816 8256 9088 9159 9216 10224 11008 12212 12384 13632 16512 18176 18318 20448 22016 24424 24768 27264 27477 33024 36352 36636 40896 44032 48848 49536 54528 54954 66048 72704 73272 81792 97696 99072 109056 109908 132096 146544 163584 195392 198144 218112 219816 293088 327168 390784 396288 439632 586176 654336 781568 879264 1172352 1563136 1758528 2344704 3126272 3517056 4689408 7034112 9378816 14068224 28136448