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28665984 = 273193929
BaseRepresentation
bin110110101011…
…0100010000000
31222221101100010
41231112202000
524314302414
62502224520
7465441204
oct155264200
958841303
1028665984
11151aa1a6
129725140
135c28a29
143b42b04
1527b3959
hex1b56880

28665984 has 64 divisors (see below), whose sum is σ = 80172000. Its totient is φ = 9050112.

The previous prime is 28665983. The next prime is 28666021. The reversal of 28665984 is 48956682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28665983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5332 + ... + 9260.

Almost surely, 228665984 is an apocalyptic number.

28665984 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 28665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40086000).

28665984 is an abundant number, since it is smaller than the sum of its proper divisors (51506016).

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

28665984 is a wasteful number, since it uses less digits than its factorization.

28665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3953 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 28665984 is about 5354.0623829014. The cubic root of 28665984 is about 306.0475811354.

The spelling of 28665984 in words is "twenty-eight million, six hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 3929 7296 7858 11787 15716 23574 31432 47148 62864 74651 94296 125728 149302 188592 223953 251456 298604 377184 447906 502912 597208 754368 895812 1194416 1508736 1791624 2388832 3583248 4777664 7166496 9555328 14332992 28665984