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28552350640 = 2451127937337
BaseRepresentation
bin11010100101110110…
…100100101110110000
32201200212021200210011
4122211312210232300
5431433400210030
621041115544304
72030360655532
oct324566445660
981625250704
1028552350640
111112206a700
12564a15b094
1329004a2148
14154c091852
15b219c0b2a
hex6a5da4bb0

28552350640 has 120 divisors (see below), whose sum is σ = 73893395520. Its totient is φ = 10250972160.

The previous prime is 28552350637. The next prime is 28552350647. The reversal of 28552350640 is 4605325582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 28552350593 and 28552350602.

It is not an unprimeable number, because it can be changed into a prime (28552350647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746052 + ... + 783388.

It is an arithmetic number, because the mean of its divisors is an integer number (615778296).

Almost surely, 228552350640 is an apocalyptic number.

28552350640 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 28552350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36946697760).

28552350640 is an abundant number, since it is smaller than the sum of its proper divisors (45341044880).

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

28552350640 is a wasteful number, since it uses less digits than its factorization.

28552350640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37451 (or 37434 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 28552350640 in words is "twenty-eight billion, five hundred fifty-two million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 121 158 176 220 242 316 395 440 484 605 632 790 869 880 968 1210 1264 1580 1738 1936 2420 3160 3476 4345 4840 6320 6952 8690 9559 9680 13904 17380 19118 34760 37337 38236 47795 69520 74674 76472 95590 149348 152944 186685 191180 298696 373370 382360 410707 597392 746740 764720 821414 1493480 1642828 2053535 2949623 2986960 3285656 4107070 4517777 5899246 6571312 8214140 9035554 11798492 14748115 16428280 18071108 22588885 23596984 29496230 32445853 32856560 36142216 45177770 47193968 58992460 64891706 72284432 90355540 117984920 129783412 162229265 180711080 235969840 259566824 324458530 356904383 361422160 519133648 648917060 713808766 1297834120 1427617532 1784521915 2595668240 2855235064 3569043830 5710470128 7138087660 14276175320 28552350640