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28213416084 = 22371944939371
BaseRepresentation
bin11010010001101001…
…101001000010010100
32200211020112000222110
4122101221221002110
5430240113303314
620543331231020
72016104036250
oct322151510224
980736460873
1028213416084
1110a688130a7
125574748470
1328781c1759
141519065260
15b01d70a59
hex691a69094

28213416084 has 96 divisors (see below), whose sum is σ = 79373952000. Its totient is φ = 7619512320.

The previous prime is 28213416073. The next prime is 28213416113. The reversal of 28213416084 is 48061431282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696919 + ... + 736289.

It is an arithmetic number, because the mean of its divisors is an integer number (826812000).

Almost surely, 228213416084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28213416084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39686976000).

28213416084 is an abundant number, since it is smaller than the sum of its proper divisors (51160535916).

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

28213416084 is a wasteful number, since it uses less digits than its factorization.

28213416084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39853 (or 39851 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 28213416084 in words is "twenty-eight billion, two hundred thirteen million, four hundred sixteen thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 449 532 798 898 1347 1596 1796 2694 3143 5388 6286 8531 9429 12572 17062 18858 25593 34124 37716 39371 51186 59717 78742 102372 118113 119434 157484 179151 236226 238868 275597 358302 472452 551194 716604 748049 826791 1102388 1496098 1653582 2244147 2992196 3307164 4488294 5236343 8976588 10472686 15709029 17677579 20945372 31418058 35355158 53032737 62836116 70710316 106065474 123743053 212130948 247486106 335874001 371229159 494972212 671748002 742458318 1007622003 1343496004 1484916636 2015244006 2351118007 4030488012 4702236014 7053354021 9404472028 14106708042 28213416084