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28321280 = 295132337
BaseRepresentation
bin110110000001…
…0011000000000
31222021212111022
41230002120000
524222240110
62451005012
7462504221
oct154023000
958255438
1028321280
1114a94219
129599768
135b37b70
143a93248
152746755
hex1b02600

28321280 has 160 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 9732096.

The previous prime is 28321253. The next prime is 28321301. The reversal of 28321280 is 8212382.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765422 + ... + 765458.

Almost surely, 228321280 is an apocalyptic number.

28321280 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 28321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

28321280 is an abundant number, since it is smaller than the sum of its proper divisors (50048704).

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

28321280 is a wasteful number, since it uses less digits than its factorization.

28321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 28321280 is about 5321.7741402656. The cubic root of 28321280 is about 304.8159061054.

The spelling of 28321280 in words is "twenty-eight million, three hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 37 40 46 52 64 65 74 80 92 104 115 128 130 148 160 184 185 208 230 256 260 296 299 320 368 370 416 460 481 512 520 592 598 640 736 740 832 851 920 962 1040 1184 1196 1280 1472 1480 1495 1664 1702 1840 1924 2080 2368 2392 2405 2560 2944 2960 2990 3328 3404 3680 3848 4160 4255 4736 4784 4810 5888 5920 5980 6656 6808 7360 7696 8320 8510 9472 9568 9620 11063 11776 11840 11960 13616 14720 15392 16640 17020 18944 19136 19240 22126 23680 23920 27232 29440 30784 33280 34040 38272 38480 44252 47360 47840 54464 55315 58880 61568 68080 76544 76960 88504 94720 95680 108928 110630 123136 136160 153088 153920 177008 191360 217856 221260 246272 272320 307840 354016 382720 435712 442520 544640 615680 708032 765440 885040 1089280 1231360 1416064 1770080 2178560 2832128 3540160 5664256 7080320 14160640 28321280