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28110416720 = 2454111537433
BaseRepresentation
bin11010001011100000…
…101110101101010000
32200120001201010102012
4122023200232231100
5430032231313340
620525211442052
72013413412461
oct321340565520
980501633365
1028110416720
1110a15663161
125546156328
13285ca6a999
1415094d2d68
15ae7cc7565
hex68b82eb50

28110416720 has 80 divisors (see below), whose sum is σ = 67017866832. Its totient is φ = 10958929920.

The previous prime is 28110416669. The next prime is 28110416729. The reversal of 28110416720 is 2761401182.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5708709136 + 22401707584 = 75556^2 + 149672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28110416729) 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, 3778124 + ... + 3785556.

Almost surely, 228110416720 is an apocalyptic number.

28110416720 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 28110416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33508933416).

28110416720 is an abundant number, since it is smaller than the sum of its proper divisors (38907450112).

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

28110416720 is a wasteful number, since it uses less digits than its factorization.

28110416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 28110416720 in words is "twenty-eight billion, one hundred ten million, four hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1153 1640 2306 3280 4612 5765 7433 9224 11530 14866 18448 23060 29732 37165 46120 47273 59464 74330 92240 94546 118928 148660 189092 236365 297320 304753 378184 472730 594640 609506 756368 945460 1219012 1523765 1890920 2438024 3047530 3781840 4876048 6095060 8570249 12190120 17140498 24380240 34280996 42851245 68561992 85702490 137123984 171404980 342809960 351380209 685619920 702760418 1405520836 1756901045 2811041672 3513802090 5622083344 7027604180 14055208360 28110416720