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28642656 = 253726089
BaseRepresentation
bin110110101000…
…0110101100000
31222220012100010
41231100311200
524313031111
62501524520
7465313200
oct155206540
958805303
1028642656
1115193719
129713740
135c1b223
143b38400
1527abaa6
hex1b50d60

28642656 has 72 divisors (see below), whose sum is σ = 87476760. Its totient is φ = 8182272.

The previous prime is 28642643. The next prime is 28642657. The reversal of 28642656 is 65624682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28642657) 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, 1660 + ... + 7748.

It is an arithmetic number, because the mean of its divisors is an integer number (1214955).

Almost surely, 228642656 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 28642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43738380).

28642656 is an abundant number, since it is smaller than the sum of its proper divisors (58834104).

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

28642656 is a wasteful number, since it uses less digits than its factorization.

28642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 6101 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 28642656 is about 5351.8834068018. The cubic root of 28642656 is about 305.9645394425.

The spelling of 28642656 in words is "twenty-eight million, six hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 6089 12178 18267 24356 36534 42623 48712 73068 85246 97424 127869 146136 170492 194848 255738 292272 298361 340984 511476 584544 596722 681968 895083 1022952 1193444 1363936 1790166 2045904 2386888 3580332 4091808 4773776 7160664 9547552 14321328 28642656