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28520940 = 22357289109
BaseRepresentation
bin110110011001…
…1000111101100
31222200000101010
41230303013230
524300132230
62455145220
7464265300
oct154630754
958600333
1028520940
1115110228
129675210
135ba79c6
143b05d00
1527859b0
hex1b331ec

28520940 has 144 divisors (see below), whose sum is σ = 94802400. Its totient is φ = 6386688.

The previous prime is 28520939. The next prime is 28520941. The reversal of 28520940 is 4902582.

It is an interprime number because it is at equal distance from previous prime (28520939) and next prime (28520941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28520898 and 28520907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28520941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261606 + ... + 261714.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 228520940 is an apocalyptic number.

28520940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5340×5341.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28520940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47401200).

28520940 is an abundant number, since it is smaller than the sum of its proper divisors (66281460).

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

28520940 is a wasteful number, since it uses less digits than its factorization.

28520940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 28520940 is about 5340.4999765940. The cubic root of 28520940 is about 305.5305287614.

The spelling of 28520940 in words is "twenty-eight million, five hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 89 98 105 109 140 147 178 196 210 218 245 267 294 327 356 420 436 445 490 534 545 588 623 654 735 763 890 980 1068 1090 1246 1308 1335 1470 1526 1635 1780 1869 2180 2289 2492 2670 2940 3052 3115 3270 3738 3815 4361 4578 5340 5341 6230 6540 7476 7630 8722 9156 9345 9701 10682 11445 12460 13083 15260 16023 17444 18690 19402 21364 21805 22890 26166 26705 29103 32046 37380 38804 43610 45780 48505 52332 53410 58206 64092 65415 67907 80115 87220 97010 106820 116412 130830 135814 145515 160230 194020 203721 261660 271628 291030 320460 339535 407442 475349 582060 679070 814884 950698 1018605 1358140 1426047 1901396 2037210 2376745 2852094 4074420 4753490 5704188 7130235 9506980 14260470 28520940