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28997568 = 263397173
BaseRepresentation
bin110111010011…
…1011111000000
32000120020012000
41232213133000
524410410233
62513304000
7501322005
oct156473700
960506160
1028997568
1115406336
129865000
136013932
143bcb8ac
15282bd13
hex1ba77c0

28997568 has 112 divisors (see below), whose sum is σ = 86624160. Its totient is φ = 9510912.

The previous prime is 28997561. The next prime is 28997581. The reversal of 28997568 is 86579982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28997561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167530 + ... + 167702.

It is an arithmetic number, because the mean of its divisors is an integer number (773430).

Almost surely, 228997568 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 28997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43312080).

28997568 is an abundant number, since it is smaller than the sum of its proper divisors (57626592).

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

28997568 is a wasteful number, since it uses less digits than its factorization.

28997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 28997568 is about 5384.9389968690. The cubic root of 28997568 is about 307.2230939670.

The spelling of 28997568 in words is "twenty-eight million, nine hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 173 192 194 216 288 291 346 388 432 519 576 582 692 776 864 873 1038 1164 1384 1552 1557 1728 1746 2076 2328 2619 2768 3104 3114 3492 4152 4656 4671 5238 5536 6208 6228 6984 8304 9312 9342 10476 11072 12456 13968 16608 16781 18624 18684 20952 24912 27936 33216 33562 37368 41904 49824 50343 55872 67124 74736 83808 99648 100686 134248 149472 151029 167616 201372 268496 298944 302058 402744 453087 536992 604116 805488 906174 1073984 1208232 1610976 1812348 2416464 3221952 3624696 4832928 7249392 9665856 14498784 28997568