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28657020 = 2235731271
BaseRepresentation
bin110110101010…
…0010101111100
31222220221001010
41231110111330
524314011040
62502115220
7465403110
oct155242574
958827033
1028657020
11151a3497
12971bb10
135c24922
143b3d740
1527b0e80
hex1b5457c

28657020 has 144 divisors (see below), whose sum is σ = 96090624. Its totient is φ = 6249600.

The previous prime is 28657009. The next prime is 28657037. The reversal of 28657020 is 2075682.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403585 + ... + 403655.

It is an arithmetic number, because the mean of its divisors is an integer number (667296).

Almost surely, 228657020 is an apocalyptic number.

28657020 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 28657020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48045312).

28657020 is an abundant number, since it is smaller than the sum of its proper divisors (67433604).

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

28657020 is a wasteful number, since it uses less digits than its factorization.

28657020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 28657020 is about 5353.2251960851. The cubic root of 28657020 is about 306.0156769276.

The spelling of 28657020 in words is "twenty-eight million, six hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 71 84 93 105 124 140 142 155 186 210 213 217 284 310 355 372 420 426 434 465 497 620 651 710 852 868 930 961 994 1065 1085 1302 1420 1491 1860 1922 1988 2130 2170 2201 2485 2604 2883 2982 3255 3844 4260 4340 4402 4805 4970 5766 5964 6510 6603 6727 7455 8804 9610 9940 11005 11532 13020 13206 13454 14415 14910 15407 19220 20181 22010 26412 26908 28830 29820 30814 33015 33635 40362 44020 46221 57660 61628 66030 67270 68231 77035 80724 92442 100905 132060 134540 136462 154070 184884 201810 204693 231105 272924 308140 341155 403620 409386 462210 477617 682310 818772 924420 955234 1023465 1364620 1432851 1910468 2046930 2388085 2865702 4093860 4776170 5731404 7164255 9552340 14328510 28657020