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28335264 = 2532341313
BaseRepresentation
bin110110000010…
…1110010100000
31222022120200020
41230011302200
524223212024
62451153440
7462563046
oct154056240
958276606
1028335264
1114aa3781
1295a5880
135b41339
143a98396
15274a979
hex1b05ca0

28335264 has 96 divisors (see below), whose sum is σ = 79761024. Its totient is φ = 8785920.

The previous prime is 28335259. The next prime is 28335269. The reversal of 28335264 is 46253382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28335259) and next prime (28335269).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28335269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90372 + ... + 90684.

It is an arithmetic number, because the mean of its divisors is an integer number (830844).

Almost surely, 228335264 is an apocalyptic number.

28335264 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 28335264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39880512).

28335264 is an abundant number, since it is smaller than the sum of its proper divisors (51425760).

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

28335264 is a wasteful number, since it uses less digits than its factorization.

28335264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 28335264 is about 5323.0878256891. The cubic root of 28335264 is about 304.8660667886.

The spelling of 28335264 in words is "twenty-eight million, three hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 313 328 368 492 552 626 656 736 939 943 984 1104 1252 1312 1878 1886 1968 2208 2504 2829 3756 3772 3936 5008 5658 7199 7512 7544 10016 11316 12833 14398 15024 15088 21597 22632 25666 28796 30048 30176 38499 43194 45264 51332 57592 76998 86388 90528 102664 115184 153996 172776 205328 230368 295159 307992 345552 410656 590318 615984 691104 885477 1180636 1231968 1770954 2361272 3541908 4722544 7083816 9445088 14167632 28335264