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28748940 = 223511431013
BaseRepresentation
bin110110110101…
…0110010001100
32000002121010120
41231222302030
524324431230
62504104540
7466235103
oct155526214
960077116
1028748940
1115256560
129765150
135c5770c
143b6503a
1527cd310
hex1b6ac8c

28748940 has 96 divisors (see below), whose sum is σ = 89945856. Its totient is φ = 6800640.

The previous prime is 28748939. The next prime is 28748971. The reversal of 28748940 is 4984782.

It is a super-2 number, since 2×287489402 = 1653003102247200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28748892 and 28748901.

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, 27874 + ... + 28886.

It is an arithmetic number, because the mean of its divisors is an integer number (936936).

Almost surely, 228748940 is an apocalyptic number.

28748940 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 28748940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928).

28748940 is an abundant number, since it is smaller than the sum of its proper divisors (61196916).

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

28748940 is a wasteful number, since it uses less digits than its factorization.

28748940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 28748940 is about 5361.8038009610. The cubic root of 28748940 is about 306.3425187637.

The spelling of 28748940 in words is "twenty-eight million, seven hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1013 1290 1419 1892 2026 2365 2580 2838 3039 4052 4730 5065 5676 6078 7095 9460 10130 11143 12156 14190 15195 20260 22286 28380 30390 33429 43559 44572 55715 60780 66858 87118 111430 130677 133716 167145 174236 217795 222860 261354 334290 435590 479149 522708 653385 668580 871180 958298 1306770 1437447 1916596 2395745 2613540 2874894 4791490 5749788 7187235 9582980 14374470 28748940