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28602257120 = 2556718114741
BaseRepresentation
bin11010101000110100…
…111100111011100000
32201211100012012121022
4122220310330323200
5432034134211440
621050101345012
72031535113503
oct325064747340
981740165538
1028602257120
1111148257128
125662a08168
13290a926ac8
14155496313a
15b2607ccb5
hex6a8d3cee0

28602257120 has 96 divisors (see below), whose sum is σ = 68964962976. Its totient is φ = 11207116800.

The previous prime is 28602257111. The next prime is 28602257129. The reversal of 28602257120 is 2175220682.

It is an interprime number because it is at equal distance from previous prime (28602257111) and next prime (28602257129).

It is a super-2 number, since 2×286022571202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28602257129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932950 + ... + 1947690.

It is an arithmetic number, because the mean of its divisors is an integer number (718385031).

Almost surely, 228602257120 is an apocalyptic number.

28602257120 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 28602257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34482481488).

28602257120 is an abundant number, since it is smaller than the sum of its proper divisors (40362705856).

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

28602257120 is a wasteful number, since it uses less digits than its factorization.

28602257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15004 (or 14996 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 28602257120 in words is "twenty-eight billion, six hundred two million, two hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 181 268 335 362 536 670 724 905 1072 1340 1448 1810 2144 2680 2896 3620 5360 5792 7240 10720 12127 14480 14741 24254 28960 29482 48508 58964 60635 73705 97016 117928 121270 147410 194032 235856 242540 294820 388064 471712 485080 589640 970160 987647 1179280 1940320 1975294 2358560 2668121 3950588 4938235 5336242 7901176 9876470 10672484 13340605 15802352 19752940 21344968 26681210 31604704 39505880 42689936 53362420 79011760 85379872 106724840 158023520 178764107 213449680 357528214 426899360 715056428 893820535 1430112856 1787641070 2860225712 3575282140 5720451424 7150564280 14301128560 28602257120