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28618020 = 22325374297
BaseRepresentation
bin110110100101…
…0110100100100
31222211221112200
41231022310210
524311234040
62501214500
7465151314
oct155126444
958757480
1028618020
1115177162
129701430
135c0cc52
143b2d444
1527a4630
hex1b4ad24

28618020 has 72 divisors (see below), whose sum is σ = 89174904. Its totient is φ = 7423488.

The previous prime is 28618013. The next prime is 28618033. The reversal of 28618020 is 2081682.

28618020 is a `hidden beast` number, since 28 + 618 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 20358144 = 2874^2 + 4512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4512 + ... + 8808.

Almost surely, 228618020 is an apocalyptic number.

28618020 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 28618020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44587452).

28618020 is an abundant number, since it is smaller than the sum of its proper divisors (60556884).

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

28618020 is a wasteful number, since it uses less digits than its factorization.

28618020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28618020 is about 5349.5812920265. The cubic root of 28618020 is about 305.8767926388.

The spelling of 28618020 in words is "twenty-eight million, six hundred eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 4297 6660 8594 12891 17188 21485 25782 38673 42970 51564 64455 77346 85940 128910 154692 158989 193365 257820 317978 386730 476967 635956 773460 794945 953934 1430901 1589890 1907868 2384835 2861802 3179780 4769670 5723604 7154505 9539340 14309010 28618020