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228004728 = 23372953883
BaseRepresentation
bin11011001011100…
…01001101111000
3120220000211200120
431211301031320
5431332122403
634342533240
75436002550
oct1545611570
9526024616
10228004728
11107780366
1264437220
1338311053
14223d2160
151503be53
hexd971378

228004728 has 128 divisors (see below), whose sum is σ = 687398400. Its totient is φ = 61641216.

The previous prime is 228004723. The next prime is 228004729. The reversal of 228004728 is 827400822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228004723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257775 + ... + 258657.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2228004728 is an apocalyptic number.

228004728 is a gapful number since it is divisible by the number (28) 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 228004728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

228004728 is an abundant number, since it is smaller than the sum of its proper divisors (459393672).

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

228004728 is a wasteful number, since it uses less digits than its factorization.

228004728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 228004728 is about 15099.8254294545. The cubic root of 228004728 is about 610.9156971914.

The spelling of 228004728 in words is "two hundred twenty-eight million, four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 53 56 58 84 87 106 116 159 168 174 203 212 232 318 348 371 406 424 609 636 696 742 812 883 1113 1218 1272 1484 1537 1624 1766 2226 2436 2649 2968 3074 3532 4452 4611 4872 5298 6148 6181 7064 8904 9222 10596 10759 12296 12362 18444 18543 21192 21518 24724 25607 32277 36888 37086 43036 46799 49448 51214 64554 74172 76821 86072 93598 102428 129108 140397 148344 153642 179249 187196 204856 258216 280794 307284 327593 358498 374392 537747 561588 614568 655186 716996 982779 1075494 1123176 1310372 1357171 1433992 1965558 2150988 2620744 2714342 3931116 4071513 4301976 5428684 7862232 8143026 9500197 10857368 16286052 19000394 28500591 32572104 38000788 57001182 76001576 114002364 228004728