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28313664 = 263316771
BaseRepresentation
bin110110000000…
…0100001000000
31222021111001020
41230000201000
524222014124
62450505440
7462443061
oct154004100
958244036
1028313664
1114a89525
129595280
135b34562
143a90568
152744379
hex1b00840

28313664 has 112 divisors (see below), whose sum is σ = 79589376. Its totient is φ = 8870400.

The previous prime is 28313639. The next prime is 28313671. The reversal of 28313664 is 46631382.

It is a nude number because it is divisible by every one of its digits.

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, 398749 + ... + 398819.

Almost surely, 228313664 is an apocalyptic number.

28313664 is a gapful number since it is divisible by the number (24) 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 28313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794688).

28313664 is an abundant number, since it is smaller than the sum of its proper divisors (51275712).

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

28313664 is a wasteful number, since it uses less digits than its factorization.

28313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 28313664 is about 5321.0585413055. The cubic root of 28313664 is about 304.7885805271.

The spelling of 28313664 in words is "twenty-eight million, three hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 67 71 93 96 124 134 142 186 192 201 213 248 268 284 372 402 426 496 536 568 744 804 852 992 1072 1136 1488 1608 1704 1984 2077 2144 2201 2272 2976 3216 3408 4154 4288 4402 4544 4757 5952 6231 6432 6603 6816 8308 8804 9514 12462 12864 13206 13632 14271 16616 17608 19028 24924 26412 28542 33232 35216 38056 49848 52824 57084 66464 70432 76112 99696 105648 114168 132928 140864 147467 152224 199392 211296 228336 294934 304448 398784 422592 442401 456672 589868 884802 913344 1179736 1769604 2359472 3539208 4718944 7078416 9437888 14156832 28313664