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728068614 = 237135997233
BaseRepresentation
bin101011011001010…
…111001000000110
31212201222201101020
4223121113020012
52442341143424
6200125012010
724020324010
oct5331271006
91781881336
10728068614
11343a807a9
121839b4006
13b7ab9240
146c9a31b0
1543db9079
hex2b657206

728068614 has 128 divisors (see below), whose sum is σ = 1849236480. Its totient is φ = 186015744.

The previous prime is 728068591. The next prime is 728068637. The reversal of 728068614 is 416860827.

It is an interprime number because it is at equal distance from previous prime (728068591) and next prime (728068637).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3124642 + ... + 3124874.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 2728068614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728068614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

728068614 is an abundant number, since it is smaller than the sum of its proper divisors (1121167866).

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

728068614 is a wasteful number, since it uses less digits than its factorization.

728068614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 728068614 is about 26982.7465985211. The cubic root of 728068614 is about 899.6165502326.

The spelling of 728068614 in words is "seven hundred twenty-eight million, sixty-eight thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 59 78 91 97 118 177 182 194 233 273 291 354 413 466 546 582 679 699 767 826 1239 1261 1358 1398 1534 1631 2037 2301 2478 2522 3029 3262 3783 4074 4602 4893 5369 5723 6058 7566 8827 9087 9786 10738 11446 13747 16107 17169 17654 18174 21203 22601 26481 27494 32214 34338 40061 41241 42406 45202 52962 63609 67803 74399 80122 82482 96229 120183 127218 135606 148798 158207 178711 192458 223197 240366 288687 293813 316414 357422 446394 474621 520793 536133 577374 587626 881439 949242 1041586 1072266 1250977 1333459 1562379 1762878 2056691 2501954 2666918 3124758 3752931 4000377 4113382 6170073 7505862 8000754 9334213 12340146 17334967 18668426 28002639 34669934 52004901 56005278 104009802 121344769 242689538 364034307 728068614