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28416071464 = 23112314839467
BaseRepresentation
bin11010011101101110…
…101101011100101000
32201100100211222220021
4122131232231130220
5431144003241324
621015411010224
72024114423254
oct323556553450
981310758807
1028416071464
111106214a090
125610599974
1328ab198591
141537d39264
15b14a51ae4
hex69dbad728

28416071464 has 64 divisors (see below), whose sum is σ = 60698211840. Its totient is φ = 12345178560.

The previous prime is 28416071443. The next prime is 28416071473. The reversal of 28416071464 is 46417061482.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28416071464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2996859 + ... + 3006325.

It is an arithmetic number, because the mean of its divisors is an integer number (948409560).

Almost surely, 228416071464 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 28416071464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30349105920).

28416071464 is an abundant number, since it is smaller than the sum of its proper divisors (32282140376).

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

28416071464 is a wasteful number, since it uses less digits than its factorization.

28416071464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 28416071464 in words is "twenty-eight billion, four hundred sixteen million, seventy-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1483 2024 2966 5932 9467 11864 16313 18934 32626 34109 37868 65252 68218 75736 104137 130504 136436 208274 217741 272872 375199 416548 435482 750398 833096 870964 1500796 1741928 2395151 3001592 4790302 9580604 14039561 19161208 28079122 56158244 112316488 154435171 308870342 322909903 617740684 645819806 1235481368 1291639612 2583279224 3552008933 7104017866 14208035732 28416071464