Search a number
-
+
28757300 = 225211132011
BaseRepresentation
bin110110110110…
…0110100110100
32000010000121012
41231230310310
524330213200
62504211352
7466301345
oct155546464
960100535
1028757300
1115261870
129769b58
135c5b470
143b680cc
1527d0a35
hex1b6cd34

28757300 has 72 divisors (see below), whose sum is σ = 73349472. Its totient is φ = 9648000.

The previous prime is 28757297. The next prime is 28757303. The reversal of 28757300 is 375782.

It is an interprime number because it is at equal distance from previous prime (28757297) and next prime (28757303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28757303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13295 + ... + 15305.

Almost surely, 228757300 is an apocalyptic number.

28757300 is a gapful number since it is divisible by the number (20) 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 28757300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36674736).

28757300 is an abundant number, since it is smaller than the sum of its proper divisors (44592172).

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

28757300 is a wasteful number, since it uses less digits than its factorization.

28757300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 28757300 is about 5362.5833326858. The cubic root of 28757300 is about 306.3722100063.

The spelling of 28757300 in words is "twenty-eight million, seven hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2011 2860 3575 4022 7150 8044 10055 14300 20110 22121 26143 40220 44242 50275 52286 88484 100550 104572 110605 130715 201100 221210 261430 287573 442420 522860 553025 575146 653575 1106050 1150292 1307150 1437865 2212100 2614300 2875730 5751460 7189325 14378650 28757300