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28655616 = 21431153
BaseRepresentation
bin110110101010…
…0000000000000
31222220212010010
41231110000000
524313434431
62502104520
7465366033
oct155240000
958825103
1028655616
11151a2430
12971b140
135c240b2
143b3d01a
1527b0846
hex1b54000

28655616 has 120 divisors (see below), whose sum is σ = 84932064. Its totient is φ = 8519680.

The previous prime is 28655611. The next prime is 28655617. The reversal of 28655616 is 61655682.

It is a super-2 number, since 2×286556162 = 1642288656678912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28655611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540646 + ... + 540698.

Almost surely, 228655616 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 28655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42466032).

28655616 is an abundant number, since it is smaller than the sum of its proper divisors (56276448).

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

28655616 is an equidigital number, since it uses as much as digits as its factorization.

28655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 28655616 is about 5353.0940585796. The cubic root of 28655616 is about 306.0106792804.

The spelling of 28655616 in words is "twenty-eight million, six hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 256 264 318 352 384 424 512 528 583 636 704 768 848 1024 1056 1166 1272 1408 1536 1696 1749 2048 2112 2332 2544 2816 3072 3392 3498 4096 4224 4664 5088 5632 6144 6784 6996 8192 8448 9328 10176 11264 12288 13568 13992 16384 16896 18656 20352 22528 24576 27136 27984 33792 37312 40704 45056 49152 54272 55968 67584 74624 81408 90112 108544 111936 135168 149248 162816 180224 217088 223872 270336 298496 325632 434176 447744 540672 596992 651264 868352 895488 1193984 1302528 1790976 2387968 2605056 3581952 4775936 7163904 9551872 14327808 28655616