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28695960 = 23325791009
BaseRepresentation
bin110110101110…
…1110110011000
31222222220110100
41231131312120
524321232320
62503015400
7465624456
oct155356630
958886410
1028695960
111521a777
12973a560
135c39577
143b4d9d6
1527bc790
hex1b5dd98

28695960 has 96 divisors (see below), whose sum is σ = 94536000. Its totient is φ = 7547904.

The previous prime is 28695959. The next prime is 28695967. The reversal of 28695960 is 6959682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28695967) 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, 27936 + ... + 28944.

It is an arithmetic number, because the mean of its divisors is an integer number (984750).

Almost surely, 228695960 is an apocalyptic number.

28695960 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 28695960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47268000).

28695960 is an abundant number, since it is smaller than the sum of its proper divisors (65840040).

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

28695960 is a wasteful number, since it uses less digits than its factorization.

28695960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 28695960 is about 5356.8610211578. The cubic root of 28695960 is about 306.1542218885.

The spelling of 28695960 in words is "twenty-eight million, six hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1009 1185 1422 1580 1896 2018 2370 2844 3027 3160 3555 4036 4740 5045 5688 6054 7110 8072 9081 9480 10090 12108 14220 15135 18162 20180 24216 28440 30270 36324 40360 45405 60540 72648 79711 90810 121080 159422 181620 239133 318844 363240 398555 478266 637688 717399 797110 956532 1195665 1434798 1594220 1913064 2391330 2869596 3188440 3586995 4782660 5739192 7173990 9565320 14347980 28695960