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28901376 = 2163272
BaseRepresentation
bin110111001000…
…0000000000000
32000101100020100
41232100000000
524344321001
62511242400
7500441400
oct156200000
960340210
1028901376
1115350039
129819400
135cabc0a
143ba4800
15280d586
hex1b90000

28901376 has 153 divisors (see below), whose sum is σ = 97123611. Its totient is φ = 8257536.

The previous prime is 28901311. The next prime is 28901387. The reversal of 28901376 is 67310982.

The square root of 28901376 is 5376.

It is a perfect power (a square), and thus also a powerful number.

28901376 is a `hidden beast` number, since 289 + 0 + 1 + 376 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28901376.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4128765 + ... + 4128771.

Almost surely, 228901376 is an apocalyptic number.

28901376 is the 5376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28901376

28901376 is an abundant number, since it is smaller than the sum of its proper divisors (68222235).

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

28901376 is an frugal number, since it uses more digits than its factorization.

28901376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 28901376 is about 306.8830063463.

Multiplying 28901376 by its sum of digits (36), we get a square (1040449536 = 322562).

28901376 divided by its sum of digits (36) gives a square (802816 = 8962).

Multiplying 28901376 by its product of nonzero digits (18144), we get a cube (524386566144 = 80643).

The spelling of 28901376 in words is "twenty-eight million, nine hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 441 448 504 512 576 588 672 768 784 882 896 1008 1024 1152 1176 1344 1536 1568 1764 1792 2016 2048 2304 2352 2688 3072 3136 3528 3584 4032 4096 4608 4704 5376 6144 6272 7056 7168 8064 8192 9216 9408 10752 12288 12544 14112 14336 16128 16384 18432 18816 21504 24576 25088 28224 28672 32256 32768 36864 37632 43008 49152 50176 56448 57344 64512 65536 73728 75264 86016 98304 100352 112896 114688 129024 147456 150528 172032 196608 200704 225792 229376 258048 294912 301056 344064 401408 451584 458752 516096 589824 602112 688128 802816 903168 1032192 1204224 1376256 1605632 1806336 2064384 2408448 3211264 3612672 4128768 4816896 7225344 9633792 14450688 28901376