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28949640 = 23351723617
BaseRepresentation
bin110111001101…
…1110010001000
32000110210102220
41232123302020
524402342030
62512254040
7501032166
oct156336210
960423386
1028949640
1115383325
129841320
135cc7b85
143bb8236
15281ca10
hex1b9bc88

28949640 has 128 divisors (see below), whose sum is σ = 96111360. Its totient is φ = 6938624.

The previous prime is 28949639. The next prime is 28949659. The reversal of 28949640 is 4694982.

It is a super-2 number, since 2×289496402 = 1676163312259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28949592 and 28949601.

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 31 ways as a sum of consecutive naturals, for example, 46612 + ... + 47228.

It is an arithmetic number, because the mean of its divisors is an integer number (750870).

Almost surely, 228949640 is an apocalyptic number.

28949640 is a gapful number since it is divisible by the number (20) 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 28949640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48055680).

28949640 is an abundant number, since it is smaller than the sum of its proper divisors (67161720).

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

28949640 is a wasteful number, since it uses less digits than its factorization.

28949640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 28949640 is about 5380.4869668089. The cubic root of 28949640 is about 307.0537382896.

The spelling of 28949640 in words is "twenty-eight million, nine hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 617 680 690 782 920 1020 1173 1234 1380 1564 1851 1955 2040 2346 2468 2760 3085 3128 3702 3910 4692 4936 5865 6170 7404 7820 9255 9384 10489 11730 12340 14191 14808 15640 18510 20978 23460 24680 28382 31467 37020 41956 42573 46920 52445 56764 62934 70955 74040 83912 85146 104890 113528 125868 141910 157335 170292 209780 212865 241247 251736 283820 314670 340584 419560 425730 482494 567640 629340 723741 851460 964988 1206235 1258680 1447482 1702920 1929976 2412470 2894964 3618705 4824940 5789928 7237410 9649880 14474820 28949640