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28762020 = 22335721087
BaseRepresentation
bin110110110110…
…1111110100100
32000010021002000
41231231332210
524330341040
62504245300
7466321200
oct155557644
960107060
1028762020
1115265371
129770830
135c60661
143b69b00
1527d2130
hex1b6dfa4

28762020 has 144 divisors (see below), whose sum is σ = 104186880. Its totient is φ = 6568128.

The previous prime is 28762009. The next prime is 28762021. The reversal of 28762020 is 2026782.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28762021) 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, 25917 + ... + 27003.

It is an arithmetic number, because the mean of its divisors is an integer number (723520).

Almost surely, 228762020 is an apocalyptic number.

28762020 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 28762020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

28762020 is an abundant number, since it is smaller than the sum of its proper divisors (75424860).

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

28762020 is a wasteful number, since it uses less digits than its factorization.

28762020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28762020 is about 5363.0234010304. The cubic root of 28762020 is about 306.3889709415.

The spelling of 28762020 in words is "twenty-eight million, seven hundred sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1087 1260 1323 1470 1764 1890 2174 2205 2646 2940 3261 3780 4348 4410 5292 5435 6522 6615 7609 8820 9783 10870 13044 13230 15218 16305 19566 21740 22827 26460 29349 30436 32610 38045 39132 45654 48915 53263 58698 65220 68481 76090 91308 97830 106526 114135 117396 136962 146745 152180 159789 195660 205443 213052 228270 266315 273924 293490 319578 342405 410886 456540 479367 532630 586980 639156 684810 798945 821772 958734 1027215 1065260 1369620 1438101 1597890 1917468 2054430 2396835 2876202 3195780 4108860 4793670 5752404 7190505 9587340 14381010 28762020