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28242432 = 2935227
BaseRepresentation
bin110101110111…
…1001000000000
31222010212100000
41223233020000
524212224212
62445200000
7462025311
oct153571000
958125300
1028242432
1114a3aa59
129560000
135b0acca
143a72608
15272d1dc
hex1aef200

28242432 has 120 divisors (see below), whose sum is σ = 84900816. Its totient is φ = 9372672.

The previous prime is 28242407. The next prime is 28242449. The reversal of 28242432 is 23424282.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 28242396 and 28242405.

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 11 ways as a sum of consecutive naturals, for example, 124303 + ... + 124529.

Almost surely, 228242432 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 28242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42450408).

28242432 is an abundant number, since it is smaller than the sum of its proper divisors (56658384).

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

28242432 is an frugal number, since it uses more digits than its factorization.

28242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 28242432 is about 5314.3609211268. The cubic root of 28242432 is about 304.5327684408.

The spelling of 28242432 in words is "twenty-eight million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 227 243 256 288 324 384 432 454 486 512 576 648 681 768 864 908 972 1152 1296 1362 1536 1728 1816 1944 2043 2304 2592 2724 3456 3632 3888 4086 4608 5184 5448 6129 6912 7264 7776 8172 10368 10896 12258 13824 14528 15552 16344 18387 20736 21792 24516 29056 31104 32688 36774 41472 43584 49032 55161 58112 62208 65376 73548 87168 98064 110322 116224 124416 130752 147096 174336 196128 220644 261504 294192 348672 392256 441288 523008 588384 784512 882576 1046016 1176768 1569024 1765152 2353536 3138048 3530304 4707072 7060608 9414144 14121216 28242432