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28034208 = 253371457
BaseRepresentation
bin110101011110…
…0010010100000
31221202021201000
41222330102200
524134043313
62440512000
7460200246
oct152742240
957667630
1028034208
1114908574
12947b600
135a672b7
143a1a796
1526db673
hex1abc4a0

28034208 has 96 divisors (see below), whose sum is σ = 83099520. Its totient is φ = 9192960.

The previous prime is 28034189. The next prime is 28034219. The reversal of 28034208 is 80243082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61116 + ... + 61572.

It is an arithmetic number, because the mean of its divisors is an integer number (865620).

Almost surely, 228034208 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 28034208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41549760).

28034208 is an abundant number, since it is smaller than the sum of its proper divisors (55065312).

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

28034208 is a wasteful number, since it uses less digits than its factorization.

28034208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28034208 is about 5294.7339876523. The cubic root of 28034208 is about 303.7825083329.

The spelling of 28034208 in words is "twenty-eight million, thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 457 568 639 852 864 914 1136 1278 1371 1704 1828 1917 2272 2556 2742 3408 3656 3834 4113 5112 5484 6816 7312 7668 8226 10224 10968 12339 14624 15336 16452 20448 21936 24678 30672 32447 32904 43872 49356 61344 64894 65808 97341 98712 129788 131616 194682 197424 259576 292023 389364 394848 519152 584046 778728 876069 1038304 1168092 1557456 1752138 2336184 3114912 3504276 4672368 7008552 9344736 14017104 28034208