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28666960 = 2457271103
BaseRepresentation
bin110110101011…
…0110001010000
31222221102200021
41231112301100
524314320320
62502233224
7465444100
oct155266120
958842607
1028666960
11151aaa03
129725814
135c292ca
143b43200
1527b3daa
hex1b56c50

28666960 has 120 divisors (see below), whose sum is σ = 79387776. Its totient is φ = 9596160.

The previous prime is 28666951. The next prime is 28666969. The reversal of 28666960 is 6966682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28666951) and next prime (28666969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28666969) 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, 278269 + ... + 278371.

Almost surely, 228666960 is an apocalyptic number.

28666960 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 28666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39693888).

28666960 is an abundant number, since it is smaller than the sum of its proper divisors (50720816).

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

28666960 is a wasteful number, since it uses less digits than its factorization.

28666960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 28666960 is about 5354.1535278697. The cubic root of 28666960 is about 306.0510544628.

The spelling of 28666960 in words is "twenty-eight million, six hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 71 80 98 103 112 140 142 196 206 245 280 284 355 392 412 490 497 515 560 568 710 721 784 824 980 994 1030 1136 1420 1442 1648 1960 1988 2060 2485 2840 2884 3479 3605 3920 3976 4120 4970 5047 5680 5768 6958 7210 7313 7952 8240 9940 10094 11536 13916 14420 14626 17395 19880 20188 25235 27832 28840 29252 34790 36565 39760 40376 50470 51191 55664 57680 58504 69580 73130 80752 100940 102382 117008 139160 146260 201880 204764 255955 278320 292520 358337 403760 409528 511910 585040 716674 819056 1023820 1433348 1791685 2047640 2866696 3583370 4095280 5733392 7166740 14333480 28666960