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28463130 = 2335271389
BaseRepresentation
bin110110010010…
…1000000011010
31222120002002000
41230211000122
524241310010
62454021430
7463634613
oct154450032
958502060
1028463130
1115080853
129647876
135b875b7
143accc0a
1527737c0
hex1b2501a

28463130 has 64 divisors (see below), whose sum is σ = 76377600. Its totient is φ = 7542720.

The previous prime is 28463129. The next prime is 28463131. The reversal of 28463130 is 3136482.

It is a happy number.

28463130 is a `hidden beast` number, since 28 + 4 + 631 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28463129) and next prime (28463131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28463094 and 28463103.

It is not an unprimeable number, because it can be changed into a prime (28463131) 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, 72976 + ... + 73364.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 228463130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28463130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38188800).

28463130 is an abundant number, since it is smaller than the sum of its proper divisors (47914470).

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

28463130 is a wasteful number, since it uses less digits than its factorization.

28463130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 28463130 is about 5335.0848165704. The cubic root of 28463130 is about 305.3239592837.

The spelling of 28463130 in words is "twenty-eight million, four hundred sixty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 271 389 542 778 813 1167 1355 1626 1945 2334 2439 2710 3501 3890 4065 4878 5835 7002 7317 8130 10503 11670 12195 14634 17505 21006 24390 35010 36585 52515 73170 105030 105419 210838 316257 527095 632514 948771 1054190 1581285 1897542 2846313 3162570 4743855 5692626 9487710 14231565 28463130