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28625416340 = 22517196766137
BaseRepresentation
bin11010101010001101…
…010011000010010100
32201212221202211002012
4122222031103002110
5432111101310330
621052250003352
72032236011213
oct325215230224
981787684065
1028625416340
111115a334a84
12566a716558
1329126751a1
141557a7107a
15b28104c95
hex6aa353094

28625416340 has 96 divisors (see below), whose sum is σ = 68000446080. Its totient is φ = 10056904704.

The previous prime is 28625416331. The next prime is 28625416349. The reversal of 28625416340 is 4361452682.

It is an interprime number because it is at equal distance from previous prime (28625416331) and next prime (28625416349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28625416349) 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, 399752 + ... + 465888.

It is an arithmetic number, because the mean of its divisors is an integer number (708337980).

Almost surely, 228625416340 is an apocalyptic number.

28625416340 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 28625416340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34000223040).

28625416340 is an abundant number, since it is smaller than the sum of its proper divisors (39375029740).

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

28625416340 is a wasteful number, since it uses less digits than its factorization.

28625416340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66249 (or 66247 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 28625416340 in words is "twenty-eight billion, six hundred twenty-five million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 67 68 76 85 95 134 170 190 268 323 335 340 380 646 670 1139 1273 1292 1340 1615 2278 2546 3230 4556 5092 5695 6365 6460 11390 12730 21641 22780 25460 43282 66137 86564 108205 132274 216410 264548 330685 432820 661370 1124329 1256603 1322740 2248658 2513206 4431179 4497316 5026412 5621645 6283015 8862358 11243290 12566030 17724716 21362251 22155895 22486580 25132060 42724502 44311790 75330043 84192401 85449004 88623580 106811255 150660086 168384802 213622510 301320172 336769604 376650215 420962005 427245020 753300430 841924010 1431270817 1506600860 1683848020 2862541634 5725083268 7156354085 14312708170 28625416340