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28457660 = 225711171087
BaseRepresentation
bin110110010001…
…1101010111100
31222112210120102
41230203222330
524241121120
62453540232
7463612640
oct154435274
958483512
1028457660
1115077730
129644678
135b84c6a
143acac20
152771d75
hex1b23abc

28457660 has 96 divisors (see below), whose sum is σ = 78962688. Its totient is φ = 8340480.

The previous prime is 28457641. The next prime is 28457669. The reversal of 28457660 is 6675482.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28457669) 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, 25637 + ... + 26723.

It is an arithmetic number, because the mean of its divisors is an integer number (822528).

Almost surely, 228457660 is an apocalyptic number.

28457660 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 28457660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344).

28457660 is an abundant number, since it is smaller than the sum of its proper divisors (50505028).

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

28457660 is a wasteful number, since it uses less digits than its factorization.

28457660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 28457660 is about 5334.5721477922. The cubic root of 28457660 is about 305.3043991363.

The spelling of 28457660 in words is "twenty-eight million, four hundred fifty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1087 1190 1309 1540 1870 2174 2380 2618 3740 4348 5236 5435 6545 7609 10870 11957 13090 15218 18479 21740 23914 26180 30436 36958 38045 47828 59785 73916 76090 83699 92395 119570 129353 152180 167398 184790 203269 239140 258706 334796 369580 406538 418495 517412 646765 813076 836990 1016345 1293530 1422883 1673980 2032690 2587060 2845766 4065380 5691532 7114415 14228830 28457660