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28973406 = 23721117231
BaseRepresentation
bin110111010000…
…1100101011110
32000112000001010
41232201211132
524404122111
62513000050
7501161400
oct156414536
960460033
1028973406
111539a170
129853026
136005937
143bc2b70
152824aa6
hex1ba195e

28973406 has 144 divisors (see below), whose sum is σ = 80635392. Its totient is φ = 6854400.

The previous prime is 28973393. The next prime is 28973411. The reversal of 28973406 is 60437982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 934611 + ... + 934641.

It is an arithmetic number, because the mean of its divisors is an integer number (559968).

Almost surely, 228973406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28973406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40317696).

28973406 is an abundant number, since it is smaller than the sum of its proper divisors (51661986).

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

28973406 is a wasteful number, since it uses less digits than its factorization.

28973406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 28973406 is about 5382.6950498798. The cubic root of 28973406 is about 307.1377398308.

The spelling of 28973406 in words is "twenty-eight million, nine hundred seventy-three thousand, four hundred six".

Divisors: 1 2 3 6 7 11 14 17 21 22 31 33 34 42 49 51 62 66 77 93 98 102 119 147 154 186 187 217 231 238 289 294 341 357 374 434 462 527 539 561 578 651 682 714 833 867 1023 1054 1078 1122 1302 1309 1519 1581 1617 1666 1734 2023 2046 2387 2499 2618 3038 3162 3179 3234 3689 3927 4046 4557 4774 4998 5797 6069 6358 7161 7378 7854 8959 9114 9163 9537 11067 11594 12138 14161 14322 16709 17391 17918 18326 19074 22134 22253 25823 26877 27489 28322 33418 34782 40579 42483 44506 50127 51646 53754 54978 62713 66759 77469 81158 84966 98549 100254 121737 125426 133518 154938 155771 188139 197098 243474 284053 295647 311542 376278 438991 467313 568106 591294 689843 852159 877982 934626 1316973 1379686 1704318 2069529 2633946 4139058 4828901 9657802 14486703 28973406