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28993272 = 23371129541
BaseRepresentation
bin110111010011…
…0011011111000
32000120000021220
41232212123320
524410241042
62513232040
7501303330
oct156463370
960500256
1028993272
1115403090
129862620
1360119a9
143bca0c0
15282a8ec
hex1ba66f8

28993272 has 128 divisors (see below), whose sum is σ = 93657600. Its totient is φ = 7257600.

The previous prime is 28993267. The next prime is 28993291. The reversal of 28993272 is 27239982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53322 + ... + 53862.

It is an arithmetic number, because the mean of its divisors is an integer number (731700).

Almost surely, 228993272 is an apocalyptic number.

28993272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28993272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46828800).

28993272 is an abundant number, since it is smaller than the sum of its proper divisors (64664328).

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

28993272 is a wasteful number, since it uses less digits than its factorization.

28993272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 28993272 is about 5384.5400917813. The cubic root of 28993272 is about 307.2079214808.

The spelling of 28993272 in words is "twenty-eight million, nine hundred ninety-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 406 462 541 609 616 638 696 812 924 957 1082 1218 1276 1623 1624 1848 1914 2164 2233 2436 2552 3246 3787 3828 4328 4466 4872 5951 6492 6699 7574 7656 8932 11361 11902 12984 13398 15148 15689 17853 17864 22722 23804 26796 30296 31378 35706 41657 45444 47067 47608 53592 62756 71412 83314 90888 94134 109823 124971 125512 142824 166628 172579 188268 219646 249942 329469 333256 345158 376536 439292 499884 517737 658938 690316 878584 999768 1035474 1208053 1317876 1380632 2070948 2416106 2635752 3624159 4141896 4832212 7248318 9664424 14496636 28993272