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28538440 = 2357227449
BaseRepresentation
bin110110011011…
…1011001001000
31222200220101021
41230313121020
524301212230
62455402224
7464400310
oct154673110
958626337
1028538440
1115122397
129683374
135bb2968
143b0c440
15278ac7a
hex1b37648

28538440 has 64 divisors (see below), whose sum is σ = 73872000. Its totient is φ = 9719808.

The previous prime is 28538431. The next prime is 28538443. The reversal of 28538440 is 4483582.

It is a junction number, because it is equal to n+sod(n) for n = 28538396 and 28538405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28538443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63336 + ... + 63784.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 228538440 is an apocalyptic number.

28538440 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 28538440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36936000).

28538440 is an abundant number, since it is smaller than the sum of its proper divisors (45333560).

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

28538440 is a wasteful number, since it uses less digits than its factorization.

28538440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 28538440 is about 5342.1381487191. The cubic root of 28538440 is about 305.5930055598.

The spelling of 28538440 in words is "twenty-eight million, five hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 227 280 449 454 898 908 1135 1589 1796 1816 2245 2270 3143 3178 3592 4490 4540 6286 6356 7945 8980 9080 12572 12712 15715 15890 17960 25144 31430 31780 62860 63560 101923 125720 203846 407692 509615 713461 815384 1019230 1426922 2038460 2853844 3567305 4076920 5707688 7134610 14269220 28538440