Search a number
-
+
28756420 = 22571171263
BaseRepresentation
bin110110110110…
…0100111000100
32000002222101121
41231230213010
524330201140
62504203324
7466265650
oct155544704
960088347
1028756420
1115261140
129769544
135c5ac44
143b67a60
1527d064a
hex1b6c9c4

28756420 has 96 divisors (see below), whose sum is σ = 76640256. Its totient is φ = 8803200.

The previous prime is 28756391. The next prime is 28756447. The reversal of 28756420 is 2465782.

It is a congruent number.

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, 109209 + ... + 109471.

It is an arithmetic number, because the mean of its divisors is an integer number (798336).

Almost surely, 228756420 is an apocalyptic number.

28756420 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 28756420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128).

28756420 is an abundant number, since it is smaller than the sum of its proper divisors (47883836).

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

28756420 is a wasteful number, since it uses less digits than its factorization.

28756420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 28756420 is about 5362.5012820511. The cubic root of 28756420 is about 306.3690848833.

The spelling of 28756420 in words is "twenty-eight million, seven hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 71 77 110 140 142 154 220 263 284 308 355 385 497 526 710 770 781 994 1052 1315 1420 1540 1562 1841 1988 2485 2630 2893 3124 3682 3905 4970 5260 5467 5786 7364 7810 9205 9940 10934 11572 14465 15620 18410 18673 20251 21868 27335 28930 36820 37346 40502 54670 57860 74692 81004 93365 101255 109340 130711 186730 202510 205403 261422 373460 405020 410806 522844 653555 821612 1027015 1307110 1437821 2054030 2614220 2875642 4108060 5751284 7189105 14378210 28756420