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28425384 = 23331353191
BaseRepresentation
bin110110001101…
…1110010101000
31222111011022000
41230123302220
524234103014
62453131000
7463416561
oct154336250
958434260
1028425384
1115055459
129629a60
135b73370
143abd168
152767509
hex1b1bca8

28425384 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 8536320.

The previous prime is 28425373. The next prime is 28425389. The reversal of 28425384 is 48352482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28425389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148729 + ... + 148919.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 228425384 is an apocalyptic number.

28425384 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 28425384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

28425384 is an abundant number, since it is smaller than the sum of its proper divisors (58665816).

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

28425384 is a wasteful number, since it uses less digits than its factorization.

28425384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28425384 is about 5331.5461172159. The cubic root of 28425384 is about 305.1889324801.

The spelling of 28425384 in words is "twenty-eight million, four hundred twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 191 212 216 234 312 318 351 382 424 468 477 573 636 689 702 764 936 954 1146 1272 1378 1404 1431 1528 1719 1908 2067 2292 2483 2756 2808 2862 3438 3816 4134 4584 4966 5157 5512 5724 6201 6876 7449 8268 9932 10123 10314 11448 12402 13752 14898 16536 18603 19864 20246 20628 22347 24804 29796 30369 37206 40492 41256 44694 49608 59592 60738 67041 74412 80984 89388 91107 121476 131599 134082 148824 178776 182214 242952 263198 268164 273321 364428 394797 526396 536328 546642 728856 789594 1052792 1093284 1184391 1579188 2186568 2368782 3158376 3553173 4737564 7106346 9475128 14212692 28425384