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28385784 = 23327173313
BaseRepresentation
bin110110001001…
…0000111111000
31222102010222100
41230102013320
524231321114
62452223400
7463163250
oct154220770
958363870
1028385784
1115028729
12960ab60
135b5b32b
143aac960
15275a909
hex1b121f8

28385784 has 96 divisors (see below), whose sum is σ = 93057120. Its totient is φ = 7630848.

The previous prime is 28385783. The next prime is 28385803. The reversal of 28385784 is 48758382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28385783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6912 + ... + 10224.

It is an arithmetic number, because the mean of its divisors is an integer number (969345).

Almost surely, 228385784 is an apocalyptic number.

28385784 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 28385784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46528560).

28385784 is an abundant number, since it is smaller than the sum of its proper divisors (64671336).

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

28385784 is a wasteful number, since it uses less digits than its factorization.

28385784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3342 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 28385784 is about 5327.8310784033. The cubic root of 28385784 is about 305.0471449115.

The spelling of 28385784 in words is "twenty-eight million, three hundred eighty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 3313 4284 6626 8568 9939 13252 19878 23191 26504 29817 39756 46382 56321 59634 69573 79512 92764 112642 119268 139146 168963 185528 208719 225284 238536 278292 337926 394247 417438 450568 506889 556584 675852 788494 834876 1013778 1182741 1351704 1576988 1669752 2027556 2365482 3153976 3548223 4055112 4730964 7096446 9461928 14192892 28385784