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28848384 = 283219659
BaseRepresentation
bin110111000001…
…1000100000000
32000021122112200
41232003010000
524341122014
62510153200
7500131035
oct156030400
960248480
1028848384
1115314244
1297b2800
135c90a66
143b8d38c
1527eca09
hex1b83100

28848384 has 108 divisors (see below), whose sum is σ = 87687600. Its totient is φ = 9096192.

The previous prime is 28848361. The next prime is 28848389. The reversal of 28848384 is 48384882.

It is a happy number.

It is a super-2 number, since 2×288483842 = 1664458518822912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28848389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43447 + ... + 44105.

Almost surely, 228848384 is an apocalyptic number.

28848384 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 28848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43843800).

28848384 is an abundant number, since it is smaller than the sum of its proper divisors (58839216).

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

28848384 is a wasteful number, since it uses less digits than its factorization.

28848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 28848384 is about 5371.0691673074. The cubic root of 28848384 is about 306.6953302340.

The spelling of 28848384 in words is "twenty-eight million, eight hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 659 684 768 912 1152 1216 1318 1368 1824 1977 2304 2432 2636 2736 3648 3954 4864 5272 5472 5931 7296 7908 10544 10944 11862 12521 14592 15816 21088 21888 23724 25042 31632 37563 42176 43776 47448 50084 63264 75126 84352 94896 100168 112689 126528 150252 168704 189792 200336 225378 253056 300504 379584 400672 450756 506112 601008 759168 801344 901512 1202016 1518336 1602688 1803024 2404032 3205376 3606048 4808064 7212096 9616128 14424192 28848384