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28274048 = 271143467
BaseRepresentation
bin110101111011…
…0110110000000
31222012110200222
41223312312000
524214232143
62450002212
7462216425
oct153666600
958173628
1028274048
1114a61790
129576368
135b1c50a
143a7dd4c
152737768
hex1af6d80

28274048 has 64 divisors (see below), whose sum is σ = 63011520. Its totient is φ = 12526080.

The previous prime is 28274027. The next prime is 28274087. The reversal of 28274048 is 84047282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 28273999 and 28274017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 60311 + ... + 60777.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 228274048 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 28274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760).

28274048 is an abundant number, since it is smaller than the sum of its proper divisors (34737472).

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

28274048 is a wasteful number, since it uses less digits than its factorization.

28274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 28274048 is about 5317.3346706785. The cubic root of 28274048 is about 304.6463625004.

The spelling of 28274048 in words is "twenty-eight million, two hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 344 352 467 473 688 704 934 946 1376 1408 1868 1892 2752 3736 3784 5137 5504 7472 7568 10274 14944 15136 20081 20548 29888 30272 40162 41096 59776 60544 80324 82192 160648 164384 220891 321296 328768 441782 642592 657536 883564 1285184 1767128 2570368 3534256 7068512 14137024 28274048