Search a number
-
+
28564224 = 283132861
BaseRepresentation
bin110110011110…
…1101100000000
31222202012202020
41230331230000
524303023344
62500121440
7464535423
oct154755400
958665666
1028564224
111513a7a7
129696280
135bc1610
143b179ba
152793719
hex1b3db00

28564224 has 72 divisors (see below), whose sum is σ = 81898992. Its totient is φ = 8785920.

The previous prime is 28564219. The next prime is 28564271. The reversal of 28564224 is 42246582.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8554 + ... + 11414.

It is an arithmetic number, because the mean of its divisors is an integer number (1137486).

Almost surely, 228564224 is an apocalyptic number.

28564224 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 28564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40949496).

28564224 is an abundant number, since it is smaller than the sum of its proper divisors (53334768).

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

28564224 is a wasteful number, since it uses less digits than its factorization.

28564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2879 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 28564224 is about 5344.5508698112. The cubic root of 28564224 is about 305.6850105686.

The spelling of 28564224 in words is "twenty-eight million, five hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 2861 3328 4992 5722 8583 9984 11444 17166 22888 34332 37193 45776 68664 74386 91552 111579 137328 148772 183104 223158 274656 297544 366208 446316 549312 595088 732416 892632 1098624 1190176 1785264 2197248 2380352 3570528 4760704 7141056 9521408 14282112 28564224