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28013568 = 210311829
BaseRepresentation
bin110101011011…
…1010000000000
31221201020101120
41222313100000
524132413233
62440232240
7460053132
oct152672000
957636346
1028013568
11148a4010
12946b680
135a5aa9b
143a13052
1526d54b3
hex1ab7400

28013568 has 88 divisors (see below), whose sum is σ = 81552480. Its totient is φ = 8478720.

The previous prime is 28013567. The next prime is 28013591. The reversal of 28013568 is 86531082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

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 (28013561) 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, 33378 + ... + 34206.

Almost surely, 228013568 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 28013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40776240).

28013568 is an abundant number, since it is smaller than the sum of its proper divisors (53538912).

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

28013568 is a wasteful number, since it uses less digits than its factorization.

28013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 28013568 is about 5292.7845223474. The cubic root of 28013568 is about 303.7079374091.

The spelling of 28013568 in words is "twenty-eight million, thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 829 1024 1056 1408 1536 1658 2112 2487 2816 3072 3316 4224 4974 5632 6632 8448 9119 9948 11264 13264 16896 18238 19896 26528 27357 33792 36476 39792 53056 54714 72952 79584 106112 109428 145904 159168 212224 218856 291808 318336 424448 437712 583616 636672 848896 875424 1167232 1273344 1750848 2334464 2546688 3501696 4668928 7003392 9337856 14006784 28013568