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28181232 = 24323159107
BaseRepresentation
bin110101110000…
…0001011110000
31222000202101100
41223200023300
524203244412
62444004400
7461352012
oct153401360
958022340
1028181232
11149a8a82
129530700
135ab91b1
143a581b2
152719edc
hex1ae02f0

28181232 has 120 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 8853120.

The previous prime is 28181203. The next prime is 28181287. The reversal of 28181232 is 23218182.

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 = 28181196 and 28181205.

It is a congruent number.

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, 263323 + ... + 263429.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 228181232 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 28181232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

28181232 is an abundant number, since it is smaller than the sum of its proper divisors (55384848).

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

28181232 is a wasteful number, since it uses less digits than its factorization.

28181232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 28181232 is about 5308.5998153939. The cubic root of 28181232 is about 304.3126400446.

The spelling of 28181232 in words is "twenty-eight million, one hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 59 62 72 93 107 118 124 144 177 186 214 236 248 279 321 354 372 428 472 496 531 558 642 708 744 856 944 963 1062 1116 1284 1416 1488 1712 1829 1926 2124 2232 2568 2832 3317 3658 3852 4248 4464 5136 5487 6313 6634 7316 7704 8496 9951 10974 12626 13268 14632 15408 16461 18939 19902 21948 25252 26536 29264 29853 32922 37878 39804 43896 50504 53072 56817 59706 65844 75756 79608 87792 101008 113634 119412 131688 151512 159216 195703 227268 238824 263376 303024 391406 454536 477648 587109 782812 909072 1174218 1565624 1761327 2348436 3131248 3522654 4696872 7045308 9393744 14090616 28181232