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28912464 = 243473187
BaseRepresentation
bin110111001001…
…0101101010000
32000101220110000
41232102231100
524400144324
62511410000
7500515620
oct156225520
960356400
1028912464
11153583a9
129823900
135cb3c89
143ba8880
1528119c9
hex1b92b50

28912464 has 100 divisors (see below), whose sum is σ = 95665504. Its totient is φ = 8258112.

The previous prime is 28912463. The next prime is 28912487. The reversal of 28912464 is 46421982.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28912463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7479 + ... + 10665.

Almost surely, 228912464 is an apocalyptic number.

28912464 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 28912464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832752).

28912464 is an abundant number, since it is smaller than the sum of its proper divisors (66753040).

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

28912464 is a wasteful number, since it uses less digits than its factorization.

28912464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3199 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28912464 is about 5377.0311511093. The cubic root of 28912464 is about 306.9222465047.

The spelling of 28912464 in words is "twenty-eight million, nine hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 3187 4536 6374 9072 9561 12748 19122 22309 25496 28683 38244 44618 50992 57366 66927 76488 86049 89236 114732 133854 152976 172098 178472 200781 229464 258147 267708 344196 356944 401562 458928 516294 535416 602343 688392 803124 1032588 1070832 1204686 1376784 1606248 1807029 2065176 2409372 3212496 3614058 4130352 4818744 7228116 9637488 14456232 28912464