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28530040 = 23571159157
BaseRepresentation
bin110110011010…
…1010101111000
31222200110212011
41230311111320
524300430130
62455255304
7464333650
oct154652570
958613764
1028530040
1115117050
12967a534
135babba6
143b09360
15278852a
hex1b35578

28530040 has 128 divisors (see below), whose sum is σ = 81907200. Its totient is φ = 8686080.

The previous prime is 28530037. The next prime is 28530043. The reversal of 28530040 is 4003582.

It is an interprime number because it is at equal distance from previous prime (28530037) and next prime (28530043).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 28529993 and 28530020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28530043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181642 + ... + 181798.

It is an arithmetic number, because the mean of its divisors is an integer number (639900).

Almost surely, 228530040 is an apocalyptic number.

28530040 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 28530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40953600).

28530040 is an abundant number, since it is smaller than the sum of its proper divisors (53377160).

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

28530040 is a wasteful number, since it uses less digits than its factorization.

28530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 28530040 is about 5341.3518888012. The cubic root of 28530040 is about 305.5630198850.

The spelling of 28530040 in words is "twenty-eight million, five hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 59 70 77 88 110 118 140 154 157 220 236 280 295 308 314 385 413 440 472 590 616 628 649 770 785 826 1099 1180 1256 1298 1540 1570 1652 1727 2065 2198 2360 2596 3080 3140 3245 3304 3454 4130 4396 4543 5192 5495 6280 6490 6908 8260 8635 8792 9086 9263 10990 12089 12980 13816 16520 17270 18172 18526 21980 22715 24178 25960 34540 36344 37052 43960 45430 46315 48356 60445 64841 69080 74104 90860 92630 96712 101893 120890 129682 181720 185260 203786 241780 259364 324205 370520 407572 483560 509465 518728 648410 713251 815144 1018930 1296820 1426502 2037860 2593640 2853004 3566255 4075720 5706008 7132510 14265020 28530040