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28428048 = 243211131137
BaseRepresentation
bin110110001110…
…0011100010000
31222111021221200
41230130130100
524234144143
62453151200
7463430415
oct154343420
958437850
1028428048
1115057460
12962b500
135b7463c
143ac010c
1527681d3
hex1b1c710

28428048 has 120 divisors (see below), whose sum is σ = 88092576. Its totient is φ = 8486400.

The previous prime is 28428017. The next prime is 28428053. The reversal of 28428048 is 84082482.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207436 + ... + 207572.

Almost surely, 228428048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28428048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44046288).

28428048 is an abundant number, since it is smaller than the sum of its proper divisors (59664528).

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

28428048 is a wasteful number, since it uses less digits than its factorization.

28428048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 28428048 is about 5331.7959450827. The cubic root of 28428048 is about 305.1984661880.

The spelling of 28428048 in words is "twenty-eight million, four hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 131 132 137 144 176 198 262 264 274 393 396 411 524 528 548 786 792 822 1048 1096 1179 1233 1441 1507 1572 1584 1644 2096 2192 2358 2466 2882 3014 3144 3288 4323 4521 4716 4932 5764 6028 6288 6576 8646 9042 9432 9864 11528 12056 12969 13563 17292 17947 18084 18864 19728 23056 24112 25938 27126 34584 35894 36168 51876 53841 54252 69168 71788 72336 103752 107682 108504 143576 161523 197417 207504 215364 217008 287152 323046 394834 430728 592251 646092 789668 861456 1184502 1292184 1579336 1776753 2369004 2584368 3158672 3553506 4738008 7107012 9476016 14214024 28428048