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28634528 = 2513174049
BaseRepresentation
bin110110100111…
…0110110100000
31222212210012002
41231032312200
524312301103
62501423132
7465250406
oct155166640
958783162
1028634528
11151885aa
12970aaa8
135c17610
143b35476
1527a9488
hex1b4eda0

28634528 has 48 divisors (see below), whose sum is σ = 64297800. Its totient is φ = 12435456.

The previous prime is 28634521. The next prime is 28634531. The reversal of 28634528 is 82543682.

It can be written as a sum of positive squares in 4 ways, for example, as 20178064 + 8456464 = 4492^2 + 2908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28634491 and 28634500.

It is not an unprimeable number, because it can be changed into a prime (28634521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5048 + ... + 9096.

Almost surely, 228634528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28634528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32148900).

28634528 is an abundant number, since it is smaller than the sum of its proper divisors (35663272).

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

28634528 is a wasteful number, since it uses less digits than its factorization.

28634528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4081 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 28634528 is about 5351.1239940783. The cubic root of 28634528 is about 305.9355952569.

The spelling of 28634528 in words is "twenty-eight million, six hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 4049 7072 8098 16196 32392 52637 64784 68833 105274 129568 137666 210548 275332 421096 550664 842192 894829 1101328 1684384 1789658 2202656 3579316 7158632 14317264 28634528