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28520448 = 212311211
BaseRepresentation
bin110110011001…
…1000000000000
31222122222200220
41230303000000
524300123243
62455143040
7464263665
oct154630000
958588626
1028520448
111510a920
129674a80
135ba7708
143b05a6c
152785783
hex1b33000

28520448 has 104 divisors (see below), whose sum is σ = 83351616. Its totient is φ = 8601600.

The previous prime is 28520447. The next prime is 28520449. The reversal of 28520448 is 84402582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28520447) and next prime (28520449).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28520447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135063 + ... + 135273.

Almost surely, 228520448 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 28520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41675808).

28520448 is an abundant number, since it is smaller than the sum of its proper divisors (54831168).

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

28520448 is a wasteful number, since it uses less digits than its factorization.

28520448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 28520448 is about 5340.4539132924. The cubic root of 28520448 is about 305.5287719015.

The spelling of 28520448 in words is "twenty-eight million, five hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 211 256 264 352 384 422 512 528 633 704 768 844 1024 1056 1266 1408 1536 1688 2048 2112 2321 2532 2816 3072 3376 4096 4224 4642 5064 5632 6144 6752 6963 8448 9284 10128 11264 12288 13504 13926 16896 18568 20256 22528 27008 27852 33792 37136 40512 45056 54016 55704 67584 74272 81024 108032 111408 135168 148544 162048 216064 222816 297088 324096 432128 445632 594176 648192 864256 891264 1188352 1296384 1782528 2376704 2592768 3565056 4753408 7130112 9506816 14260224 28520448