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28268928 = 273253463
BaseRepresentation
bin110101111010…
…1100110000000
31222012012200100
41223311212000
524214101203
62445522400
7462165462
oct153654600
958165610
1028268928
1114a58956
129573400
135b1a09c
143a7c132
152735ea3
hex1af5980

28268928 has 96 divisors (see below), whose sum is σ = 83060640. Its totient is φ = 9225216.

The previous prime is 28268917. The next prime is 28268951. The reversal of 28268928 is 82986282.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60825 + ... + 61287.

It is an arithmetic number, because the mean of its divisors is an integer number (865215).

Almost surely, 228268928 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 28268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41530320).

28268928 is an abundant number, since it is smaller than the sum of its proper divisors (54791712).

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

28268928 is a wasteful number, since it uses less digits than its factorization.

28268928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 28268928 is about 5316.8532046691. The cubic root of 28268928 is about 304.6279724496.

The spelling of 28268928 in words is "twenty-eight million, two hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 463 477 576 636 848 926 954 1152 1272 1389 1696 1852 1908 2544 2778 3392 3704 3816 4167 5088 5556 6784 7408 7632 8334 10176 11112 14816 15264 16668 20352 22224 24539 29632 30528 33336 44448 49078 59264 61056 66672 73617 88896 98156 133344 147234 177792 196312 220851 266688 294468 392624 441702 533376 588936 785248 883404 1177872 1570496 1766808 2355744 3140992 3533616 4711488 7067232 9422976 14134464 28268928