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28634120 = 2351722477
BaseRepresentation
bin110110100111…
…0110000001000
31222212202121222
41231032300020
524312242440
62501421212
7465246254
oct155166010
958782558
1028634120
1115188269
12970a808
135c17388
143b35264
1527a92b5
hex1b4ec08

28634120 has 48 divisors (see below), whose sum is σ = 68467140. Its totient is φ = 10775552.

The previous prime is 28634063. The next prime is 28634129. The reversal of 28634120 is 2143682.

It can be written as a sum of positive squares in 6 ways, for example, as 20557156 + 8076964 = 4534^2 + 2842^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28634120.

It is not an unprimeable number, because it can be changed into a prime (28634129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10322 + ... + 12798.

Almost surely, 228634120 is an apocalyptic number.

28634120 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 28634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34233570).

28634120 is an abundant number, since it is smaller than the sum of its proper divisors (39833020).

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

28634120 is a wasteful number, since it uses less digits than its factorization.

28634120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 28634120 is about 5351.0858711106. The cubic root of 28634120 is about 305.9341422056.

The spelling of 28634120 in words is "twenty-eight million, six hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2477 2890 4954 5780 9908 11560 12385 19816 24770 42109 49540 84218 99080 168436 210545 336872 421090 715853 842180 1431706 1684360 2863412 3579265 5726824 7158530 14317060 28634120