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28004349440 = 29518895791
BaseRepresentation
bin11010000101001100…
…000111011000000000
32200021200010100110102
4122011030013120000
5424323103140230
620510502221532
72010655020434
oct320514073000
980250110412
1028004349440
11109707a8251
1255167248a8
132843ab1692
1414d93a29c4
15add825045
hex685307600

28004349440 has 80 divisors (see below), whose sum is σ = 67191949440. Its totient is φ = 11193876480.

The previous prime is 28004349421. The next prime is 28004349473. The reversal of 28004349440 is 4494340082.

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

It is a junction number, because it is equal to n+sod(n) for n = 28004349394 and 28004349403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4832945 + ... + 4838735.

It is an arithmetic number, because the mean of its divisors is an integer number (839899368).

Almost surely, 228004349440 is an apocalyptic number.

28004349440 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 28004349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33595974720).

28004349440 is an abundant number, since it is smaller than the sum of its proper divisors (39187600000).

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

28004349440 is an equidigital number, since it uses as much as digits as its factorization.

28004349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 28004349440 in words is "twenty-eight billion, four million, three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1889 2560 3778 5791 7556 9445 11582 15112 18890 23164 28955 30224 37780 46328 57910 60448 75560 92656 115820 120896 151120 185312 231640 241792 302240 370624 463280 483584 604480 741248 926560 967168 1208960 1482496 1853120 2417920 2964992 3706240 4835840 7412480 10939199 14824960 21878398 43756796 54695995 87513592 109391990 175027184 218783980 350054368 437567960 700108736 875135920 1400217472 1750271840 2800434944 3500543680 5600869888 7001087360 14002174720 28004349440