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28928718 = 2337213292
BaseRepresentation
bin110111001011…
…0101011001110
32000102201202000
41232112223032
524401204333
62512013130
7500614200
oct156265316
960381660
1028928718
1115369635
1298311a6
135cbb4b0
143bb0770
152816713
hex1b96ace

28928718 has 144 divisors (see below), whose sum is σ = 83406960. Its totient is φ = 7366464.

The previous prime is 28928717. The next prime is 28928729. The reversal of 28928718 is 81782982.

It is a happy number.

Its product of digits (129024) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28928717) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 997528 + ... + 997556.

It is an arithmetic number, because the mean of its divisors is an integer number (579215).

Almost surely, 228928718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28928718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41703480).

28928718 is an abundant number, since it is smaller than the sum of its proper divisors (54478242).

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

28928718 is a wasteful number, since it uses less digits than its factorization.

28928718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 28928718 is about 5378.5423675937. The cubic root of 28928718 is about 306.9797508811.

It can be divided in two parts, 28928 and 718, that added together give a triangular number (29646 = T243).

The spelling of 28928718 in words is "twenty-eight million, nine hundred twenty-eight thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 49 54 58 63 78 87 91 98 117 126 147 174 182 189 203 234 261 273 294 351 377 378 406 441 522 546 609 637 702 754 783 819 841 882 1131 1218 1274 1323 1421 1566 1638 1682 1827 1911 2262 2457 2523 2639 2646 2842 3393 3654 3822 4263 4914 5046 5278 5481 5733 5887 6786 7569 7917 8526 10179 10933 10962 11466 11774 12789 15138 15834 17199 17661 18473 20358 21866 22707 23751 25578 32799 34398 35322 36946 38367 41209 45414 47502 52983 55419 65598 71253 76531 76734 82418 98397 105966 110838 123627 142506 153062 158949 166257 196794 229593 247254 295191 317898 332514 370881 459186 498771 535717 590382 688779 741762 997542 1071434 1112643 1377558 1607151 2066337 2225286 3214302 4132674 4821453 9642906 14464359 28928718